960970046400 has 2016 divisors, whose sum is σ = 4487892756480. Its totient is φ = 198173122560.

The previous prime is 960970046381. The next prime is 960970046411. The reversal of 960970046400 is 4640079069.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1293364429 + ... + 1293365171.

It is an arithmetic number, because the mean of its divisors is an integer number (2226137280).

Almost surely, 2^960970046400 is an apocalyptic number.

960970046400 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 960970046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243946378240).

960970046400 is an abundant number, since it is smaller than the sum of its proper divisors (3526922710080).

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

960970046400 is a wasteful number, since it uses less digits than its factorization.

960970046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 960970046400 in words is "nine hundred sixty billion, nine hundred seventy million, forty-six thousand, four hundred".