40034825600 has 384 divisors, whose sum is σ = 125961937920. Its totient is φ = 12209356800.

The previous prime is 40034825561. The next prime is 40034825627. The reversal of 40034825600 is 652843004.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 11579072 + ... + 11582528.

It is an arithmetic number, because the mean of its divisors is an integer number (328025880).

Almost surely, 2^40034825600 is an apocalyptic number.

40034825600 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 40034825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62980968960).

40034825600 is an abundant number, since it is smaller than the sum of its proper divisors (85927112320).

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

40034825600 is a wasteful number, since it uses less digits than its factorization.

40034825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 40034825600 in words is "forty billion, thirty-four million, eight hundred twenty-five thousand, six hundred".