971769792240 has 120 divisors (see below), whose sum is σ = 3514567449120. Its totient is φ = 239204869632.

The previous prime is 971769792233. The next prime is 971769792251. The reversal of 971769792240 is 42297967179.

971769792240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×971769792240² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51901420 + ... + 51920139.

It is an arithmetic number, because the mean of its divisors is an integer number (29288062076).

Almost surely, 2^971769792240 is an apocalyptic number.

971769792240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

971769792240 is an abundant number, since it is smaller than the sum of its proper divisors (2542797656880).

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

971769792240 is a wasteful number, since it uses less digits than its factorization.

971769792240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103821591 (or 103821582 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 63.

The spelling of 971769792240 in words is "nine hundred seventy-one billion, seven hundred sixty-nine million, seven hundred ninety-two thousand, two hundred forty".