971411139072 has 840 divisors, whose sum is σ = 3242527066548. Its totient is φ = 290357084160.

The previous prime is 971411139067. The next prime is 971411139113. The reversal of 971411139072 is 270931114179.

It is a happy number.

971411139072 is a `hidden beast` number, since 9 + 71 + 411 + 13 + 90 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 967594864896 + 3816274176 = 983664^2 + 61776^2 .

It is a super-2 number, since 2×971411139072² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 6187332018 + ... + 6187332174.

Almost surely, 2^971411139072 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 971411139072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621263533274).

971411139072 is an abundant number, since it is smaller than the sum of its proper divisors (2271115927476).

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

971411139072 is a wasteful number, since it uses less digits than its factorization.

971411139072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 971411139072 in words is "nine hundred seventy-one billion, four hundred eleven million, one hundred thirty-nine thousand, seventy-two".