942166395904320 has 896 divisors, whose sum is σ = 3402184583577600. Its totient is φ = 245374811136000.

The previous prime is 942166395904243. The next prime is 942166395904339. The reversal of 942166395904320 is 23409593661249.

942166395904320 is a `hidden beast` number, since 9 + 4 + 2 + 1 + 6 + 6 + 3 + 9 + 590 + 4 + 32 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80520154470 + ... + 80520166170.

Almost surely, 2^{942166395904320} is an apocalyptic number.

942166395904320 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 942166395904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701092291788800).

942166395904320 is an abundant number, since it is smaller than the sum of its proper divisors (2460018187673280).

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

942166395904320 is a wasteful number, since it uses less digits than its factorization.

942166395904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12804 (or 12788 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 942166395904320 in words is "nine hundred forty-two trillion, one hundred sixty-six billion, three hundred ninety-five million, nine hundred four thousand, three hundred twenty".