9974290404100 has 81 divisors (see below), whose sum is σ = 23791572074613. Its totient is φ = 3626888364000.

The previous prime is 9974290404083. The next prime is 9974290404103. The reversal of 9974290404100 is 14040924799.

The square root of 9974290404100 is 3158210.

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

It can be written as a sum of positive squares in only one way, i.e., 3590744545476 + 6383545858624 = 1894926^2 + 2526568^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9974290404103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 347388745 + ... + 347417455.

Almost surely, 2^{9974290404100} is an apocalyptic number.

9974290404100 is the 3158210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9974290404100

9974290404100 is an abundant number, since it is smaller than the sum of its proper divisors (13817281670513).

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

9974290404100 is an equidigital number, since it uses as much as digits as its factorization.

9974290404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57458 (or 28729 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

Multiplying 9974290404100 by its sum of digits (49), we get a square (488740229800900 = 22107470²).

The spelling of 9974290404100 in words is "nine trillion, nine hundred seventy-four billion, two hundred ninety million, four hundred four thousand, one hundred".