974542721040 has 360 divisors, whose sum is σ = 4007561088960. Its totient is φ = 211028654592.

The previous prime is 974542721023. The next prime is 974542721051. The reversal of 974542721040 is 40127245479.

974542721040 is a `hidden beast` number, since 9 + 7 + 4 + 5 + 427 + 210 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 56604 + ... + 1397243.

It is an arithmetic number, because the mean of its divisors is an integer number (11132114136).

Almost surely, 2^974542721040 is an apocalyptic number.

974542721040 is a gapful number since it is divisible by the number (90) 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 974542721040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003780544480).

974542721040 is an abundant number, since it is smaller than the sum of its proper divisors (3033018367920).

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

974542721040 is a wasteful number, since it uses less digits than its factorization.

974542721040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453899 (or 1453883 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 974542721040 in words is "nine hundred seventy-four billion, five hundred forty-two million, seven hundred twenty-one thousand, forty".