427162968101376 has 960 divisors, whose sum is σ = 1413032208588000. Its totient is φ = 123491507503104.

The previous prime is 427162968101347. The next prime is 427162968101411. The reversal of 427162968101376 is 673101869261724.

427162968101376 is a `hidden beast` number, since 4 + 2 + 7 + 162 + 96 + 8 + 10 + 1 + 376 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 5278598150400 + 421884369950976 = 2297520^2 + 20539824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 275766925050 + ... + 275766926598.

Almost surely, 2^{427162968101376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427162968101376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706516104294000).

427162968101376 is an abundant number, since it is smaller than the sum of its proper divisors (985869240486624).

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

427162968101376 is a wasteful number, since it uses less digits than its factorization.

427162968101376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 427162968101376 in words is "four hundred twenty-seven trillion, one hundred sixty-two billion, nine hundred sixty-eight million, one hundred one thousand, three hundred seventy-six".