971329339200 has 2016 divisors, whose sum is σ = 3981195187200. Its totient is φ = 206077132800.

The previous prime is 971329339199. The next prime is 971329339229. The reversal of 971329339200 is 2933923179.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 971329339200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10913812756 + ... + 10913812844.

It is an arithmetic number, because the mean of its divisors is an integer number (1974799200).

Almost surely, 2^971329339200 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 971329339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990597593600).

971329339200 is an abundant number, since it is smaller than the sum of its proper divisors (3009865848000).

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

971329339200 is a wasteful number, since it uses less digits than its factorization.

971329339200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 48.

The spelling of 971329339200 in words is "nine hundred seventy-one billion, three hundred twenty-nine million, three hundred thirty-nine thousand, two hundred".