971364925440 has 2048 divisors, whose sum is σ = 4509646848000. Its totient is φ = 192631799808.

The previous prime is 971364925417. The next prime is 971364925469. The reversal of 971364925440 is 44529463179.

971364925440 is a `hidden beast` number, since 9 + 7 + 1 + 3 + 6 + 4 + 92 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7648542657 + ... + 7648542783.

It is an arithmetic number, because the mean of its divisors is an integer number (2201976000).

Almost surely, 2^971364925440 is an apocalyptic number.

971364925440 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 971364925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254823424000).

971364925440 is an abundant number, since it is smaller than the sum of its proper divisors (3538281922560).

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

971364925440 is a wasteful number, since it uses less digits than its factorization.

971364925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 971364925440 in words is "nine hundred seventy-one billion, three hundred sixty-four million, nine hundred twenty-five thousand, four hundred forty".