971409628800 has 768 divisors, whose sum is σ = 3917788828800. Its totient is φ = 233543761920.

The previous prime is 971409628751. The next prime is 971409628801. The reversal of 971409628800 is 8826904179.

971409628800 is a `hidden beast` number, since 9 + 7 + 1 + 4 + 0 + 9 + 628 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (971409628801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48287544 + ... + 48307656.

Almost surely, 2^971409628800 is an apocalyptic number.

971409628800 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 971409628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958894414400).

971409628800 is an abundant number, since it is smaller than the sum of its proper divisors (2946379200000).

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

971409628800 is a wasteful number, since it uses less digits than its factorization.

971409628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20202 (or 20179 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 971409628800 in words is "nine hundred seventy-one billion, four hundred nine million, six hundred twenty-eight thousand, eight hundred".