971934612480 has 1408 divisors, whose sum is σ = 3914141736960. Its totient is φ = 227094036480.

The previous prime is 971934612409. The next prime is 971934612487. The reversal of 971934612480 is 84216439179.

971934612480 is a `hidden beast` number, since 9 + 7 + 19 + 3 + 4 + 612 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971934612487) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3125191525 + ... + 3125191835.

Almost surely, 2^971934612480 is an apocalyptic number.

971934612480 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 971934612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957070868480).

971934612480 is an abundant number, since it is smaller than the sum of its proper divisors (2942207124480).

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

971934612480 is a wasteful number, since it uses less digits than its factorization.

971934612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 971934612480 in words is "nine hundred seventy-one billion, nine hundred thirty-four million, six hundred twelve thousand, four hundred eighty".