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40323400040 = 23571123138393
BaseRepresentation
bin100101100011011101…
…100100000101101000
310212002012120221221202
4211203131210011220
51130040242300130
630305130223332
72625152150030
oct454335440550
9125065527852
1040323400040
1116112565300
127994284b48
133a58084231
141d475128c0
1510b00b9145
hex963764168

40323400040 has 192 divisors, whose sum is σ = 117651502080. Its totient is φ = 12162585600.

The previous prime is 40323399983. The next prime is 40323400069. The reversal of 40323400040 is 4000432304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40323399985 and 40323400021.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1031084 + ... + 1069476.

It is an arithmetic number, because the mean of its divisors is an integer number (612768240).

Almost surely, 240323400040 is an apocalyptic number.

40323400040 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 40323400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58825751040).

40323400040 is an abundant number, since it is smaller than the sum of its proper divisors (77328102040).

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

40323400040 is a wasteful number, since it uses less digits than its factorization.

40323400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38464 (or 38449 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 40323400040 its reverse (4000432304), we get a palindrome (44323832344).

The spelling of 40323400040 in words is "forty billion, three hundred twenty-three million, four hundred thousand, forty".