970143861335040 has 4224 divisors, whose sum is σ = 4422563478720000. Its totient is φ = 202769048272896.

The previous prime is 970143861334981. The next prime is 970143861335177. The reversal of 970143861335040 is 40533168341079.

970143861335040 is a `hidden beast` number, since 9 + 7 + 0 + 1 + 43 + 8 + 61 + 33 + 504 + 0 = 666.

It is a super-2 number, since 2×970143861335040² (a number of 31 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 302319680956 + ... + 302319684164.

Almost surely, 2^{970143861335040} is an apocalyptic number.

970143861335040 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 970143861335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211281739360000).

970143861335040 is an abundant number, since it is smaller than the sum of its proper divisors (3452419617384960).

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

970143861335040 is a wasteful number, since it uses less digits than its factorization.

970143861335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3317 (or 3274 counting only the distinct ones).

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

The spelling of 970143861335040 in words is "nine hundred seventy trillion, one hundred forty-three billion, eight hundred sixty-one million, three hundred thirty-five thousand, forty".