940069749720960 has 1536 divisors, whose sum is σ = 3522870973440000. Its totient is φ = 230429659299840.

The previous prime is 940069749720943. The next prime is 940069749720979. The reversal of 940069749720960 is 69027947960049.

940069749720960 is a `hidden beast` number, since 9 + 40 + 0 + 6 + 9 + 7 + 497 + 2 + 0 + 96 + 0 = 666.

It is a super-2 number, since 2×940069749720960² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 368799429766 + ... + 368799432314.

It is an arithmetic number, because the mean of its divisors is an integer number (2293535790000).

Almost surely, 2^{940069749720960} is an apocalyptic number.

940069749720960 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 940069749720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761435486720000).

940069749720960 is an abundant number, since it is smaller than the sum of its proper divisors (2582801223719040).

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

940069749720960 is a wasteful number, since it uses less digits than its factorization.

940069749720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 370355328, while the sum is 72.

The spelling of 940069749720960 in words is "nine hundred forty trillion, sixty-nine billion, seven hundred forty-nine million, seven hundred twenty thousand, nine hundred sixty".