427389013019136 has 640 divisors, whose sum is σ = 1402143089098752. Its totient is φ = 112992270336000.

The previous prime is 427389013019131. The next prime is 427389013019173. The reversal of 427389013019136 is 631910310983724.

It is a super-2 number, since 2×427389013019136² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (427389013019131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24462758881 + ... + 24462776351.

Almost surely, 2^{427389013019136} is an apocalyptic number.

427389013019136 is a gapful number since it is divisible by the number (46) 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 427389013019136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701071544549376).

427389013019136 is an abundant number, since it is smaller than the sum of its proper divisors (974754076079616).

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

427389013019136 is a wasteful number, since it uses less digits than its factorization.

427389013019136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20744 (or 20728 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 427389013019136 in words is "four hundred twenty-seven trillion, three hundred eighty-nine billion, thirteen million, nineteen thousand, one hundred thirty-six".