974189990400 has 960 divisors, whose sum is σ = 3653922134016. Its totient is φ = 226713600000.

The previous prime is 974189990387. The next prime is 974189990419. The reversal of 974189990400 is 4099981479.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×974189990400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1297190025 + ... + 1297190775.

Almost surely, 2^974189990400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 974189990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826961067008).

974189990400 is an abundant number, since it is smaller than the sum of its proper divisors (2679732143616).

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

974189990400 is a wasteful number, since it uses less digits than its factorization.

974189990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 60.

The spelling of 974189990400 in words is "nine hundred seventy-four billion, one hundred eighty-nine million, nine hundred ninety thousand, four hundred".