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40263423200 = 255271113137367
BaseRepresentation
bin100101011111111000…
…110001010011100000
310211221000201211012022
4211133320301103200
51124424414020300
630255144521012
72623523310320
oct453770612340
9124830654168
1040263423200
111609171a870
127978180168
133a48814990
141d3d57d280
1510a9bbd285
hex95fe314e0

40263423200 has 576 divisors, whose sum is σ = 133299468288. Its totient is φ = 11468390400.

The previous prime is 40263423173. The next prime is 40263423209. The reversal of 40263423200 is 232436204.

40263423200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×402634232002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 40263423200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40263423209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109709417 + ... + 109709783.

It is an arithmetic number, because the mean of its divisors is an integer number (231422688).

Almost surely, 240263423200 is an apocalyptic number.

40263423200 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 40263423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66649734144).

40263423200 is an abundant number, since it is smaller than the sum of its proper divisors (93036045088).

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

40263423200 is a wasteful number, since it uses less digits than its factorization.

40263423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 40263423200 its reverse (232436204), we get a palindrome (40495859404).

The spelling of 40263423200 in words is "forty billion, two hundred sixty-three million, four hundred twenty-three thousand, two hundred".