940946205588480 has 3168 divisors, whose sum is σ = 4372422498662400. Its totient is φ = 192120121589760.

The previous prime is 940946205588463. The next prime is 940946205588509. The reversal of 940946205588480 is 84885502649049.

940946205588480 is a `hidden beast` number, since 9 + 4 + 0 + 9 + 4 + 6 + 20 + 558 + 8 + 48 + 0 = 666.

It is a super-2 number, since 2×940946205588480² (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 junction number, because it is equal to n+sod(n) for n = 940946205588399 and 940946205588408.

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, 24568408371 + ... + 24568446669.

Almost surely, 2^{940946205588480} is an apocalyptic number.

940946205588480 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 940946205588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186211249331200).

940946205588480 is an abundant number, since it is smaller than the sum of its proper divisors (3431476293073920).

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

940946205588480 is a wasteful number, since it uses less digits than its factorization.

940946205588480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38397 (or 38360 counting only the distinct ones).

The product of its (nonzero) digits is 796262400, while the sum is 72.

The spelling of 940946205588480 in words is "nine hundred forty trillion, nine hundred forty-six billion, two hundred five million, five hundred eighty-eight thousand, four hundred eighty".