40977904900 has 81 divisors (see below), whose sum is σ = 92023962303. Its totient is φ = 15838123200.

The previous prime is 40977904879. The next prime is 40977904921. The reversal of 40977904900 is 940977904.

The square root of 40977904900 is 202430.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (40977904879) and next prime (40977904921).

It can be written as a sum of positive squares in 4 ways, for example, as 6933226756 + 34044678144 = 83266^2 + 184512^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62752974 + ... + 62753626.

Almost surely, 2^40977904900 is an apocalyptic number.

40977904900 is the 202430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40977904900

40977904900 is an abundant number, since it is smaller than the sum of its proper divisors (51046057403).

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

40977904900 is an equidigital number, since it uses as much as digits as its factorization.

40977904900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 49.

Multiplying 40977904900 by its sum of digits (49), we get a square (2007917340100 = 1417010²).

The spelling of 40977904900 in words is "forty billion, nine hundred seventy-seven million, nine hundred four thousand, nine hundred".