40929638400 has 432 divisors, whose sum is σ = 167536933200. Its totient is φ = 9354608640.

The previous prime is 40929638369. The next prime is 40929638401. The reversal of 40929638400 is 483692904.

40929638400 is a `hidden beast` number, since 4 + 0 + 9 + 2 + 9 + 638 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40929638401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3219256 + ... + 3231944.

It is an arithmetic number, because the mean of its divisors is an integer number (387816975).

Almost surely, 2^40929638400 is an apocalyptic number.

40929638400 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 40929638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83768466600).

40929638400 is an abundant number, since it is smaller than the sum of its proper divisors (126607294800).

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

40929638400 is a wasteful number, since it uses less digits than its factorization.

40929638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12734 (or 12706 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 40929638400 in words is "forty billion, nine hundred twenty-nine million, six hundred thirty-eight thousand, four hundred".