40874881600 has 336 divisors, whose sum is σ = 122674148352. Its totient is φ = 13085245440.

The previous prime is 40874881501. The next prime is 40874881643. The reversal of 40874881600 is 618847804.

It is a happy 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, 26084017 + ... + 26085583.

It is an arithmetic number, because the mean of its divisors is an integer number (365101632).

Almost surely, 2^40874881600 is an apocalyptic number.

40874881600 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 40874881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61337074176).

40874881600 is an abundant number, since it is smaller than the sum of its proper divisors (81799266752).

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

40874881600 is a wasteful number, since it uses less digits than its factorization.

40874881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 46.

The spelling of 40874881600 in words is "forty billion, eight hundred seventy-four million, eight hundred eighty-one thousand, six hundred".