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40221011201400 = 233252531792355329
BaseRepresentation
bin10010010010100101011110…
…00101011100110101111000
312021102002110102111022121100
421021102233011130311320
520232440112331421100
6221313135533211400
711320605103210461
oct1111225705346570
9167362412438540
1040221011201400
11118a76a9299927
124617127330b60
131959a95921093
149d09c8ca7d68
1549b392aa2400
hex2494af15cd78

40221011201400 has 288 divisors, whose sum is σ = 138393066942000. Its totient is φ = 10464439664640.

The previous prime is 40221011201383. The next prime is 40221011201401. The reversal of 40221011201400 is 410211012204.

40221011201400 is a `hidden beast` number, since 40 + 2 + 2 + 10 + 11 + 201 + 400 = 666.

40221011201400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40221011201401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15898936 + ... + 18254264.

Almost surely, 240221011201400 is an apocalyptic number.

40221011201400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40221011201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69196533471000).

40221011201400 is an abundant number, since it is smaller than the sum of its proper divisors (98172055740600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40221011201400 is a wasteful number, since it uses less digits than its factorization.

40221011201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355583 (or 2355571 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 40221011201400 its reverse (410211012204), we get a palindrome (40631222213604).

The spelling of 40221011201400 in words is "forty trillion, two hundred twenty-one billion, eleven million, two hundred one thousand, four hundred".