40994100900 has 243 divisors, whose sum is σ = 136841488329. Its totient is φ = 10262799360.

The previous prime is 40994100877. The next prime is 40994100937. The reversal of 40994100900 is 900149904.

The square root of 40994100900 is 202470.

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

It can be written as a sum of positive squares in 13 ways, for example, as 8021351844 + 32972749056 = 89562^2 + 181584^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 103259502 + ... + 103259898.

Almost surely, 2^40994100900 is an apocalyptic number.

40994100900 is the 202470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40994100900

40994100900 is an abundant number, since it is smaller than the sum of its proper divisors (95847387429).

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

40994100900 is a wasteful number, since it uses less digits than its factorization.

40994100900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Multiplying 40994100900 by its sum of digits (36), we get a square (1475787632400 = 1214820²).

40994100900 divided by its sum of digits (36) gives a square (1138725025 = 33745²).

Multiplying 40994100900 by its product of nonzero digits (11664), we get a square (478155192897600 = 21866760²).

The spelling of 40994100900 in words is "forty billion, nine hundred ninety-four million, one hundred thousand, nine hundred".