972238643501440 has 128 divisors (see below), whose sum is σ = 2670970529747520. Its totient is φ = 331497311477760.

The previous prime is 972238643501401. The next prime is 972238643501479. The reversal of 972238643501440 is 44105346832279.

It is an interprime number because it is at equal distance from previous prime (972238643501401) and next prime (972238643501479).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×972238643501440³ (a number of 46 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 598685127 + ... + 600306886.

It is a 1-persistent number, because it is pandigital, but 2⋅972238643501440 = 1944477287002880 is not.

Almost surely, 2^{972238643501440} is an apocalyptic number.

It is an amenable number.

972238643501440 is an abundant number, since it is smaller than the sum of its proper divisors (1698731886246080).

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

972238643501440 is a wasteful number, since it uses less digits than its factorization.

972238643501440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198992220 (or 1198992208 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 58.

The spelling of 972238643501440 in words is "nine hundred seventy-two trillion, two hundred thirty-eight billion, six hundred forty-three million, five hundred one thousand, four hundred forty".