427338600960 has 320 divisors, whose sum is σ = 1419675992064. Its totient is φ = 109541376000.

The previous prime is 427338600959. The next prime is 427338600967. The reversal of 427338600960 is 69006833724.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×427338600960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (427338600967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35944137 + ... + 35956023.

Almost surely, 2^427338600960 is an apocalyptic number.

427338600960 is a gapful number since it is divisible by the number (40) 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 427338600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709837996032).

427338600960 is an abundant number, since it is smaller than the sum of its proper divisors (992337391104).

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

427338600960 is a wasteful number, since it uses less digits than its factorization.

427338600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12095 (or 12079 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 427338600960 in words is "four hundred twenty-seven billion, three hundred thirty-eight million, six hundred thousand, nine hundred sixty".