40975502400 has 1260 divisors, whose sum is σ = 181648266624. Its totient is φ = 8870860800.

The previous prime is 40975502387. The next prime is 40975502401. The reversal of 40975502400 is 420557904.

40975502400 is a `hidden beast` number, since 40 + 9 + 75 + 502 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40975502401) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 871819177 + ... + 871819223.

Almost surely, 2^40975502400 is an apocalyptic number.

40975502400 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 40975502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90824133312).

40975502400 is an abundant number, since it is smaller than the sum of its proper divisors (140672764224).

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

40975502400 is a wasteful number, since it uses less digits than its factorization.

40975502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 40975502400 in words is "forty billion, nine hundred seventy-five million, five hundred two thousand, four hundred".