463031040051426 has 512 divisors, whose sum is σ = 1247790956544000. Its totient is φ = 113323396032000.

The previous prime is 463031040051401. The next prime is 463031040051479. The reversal of 463031040051426 is 624150040130364.

It is a super-2 number, since 2×463031040051426² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12558117771 + ... + 12558154641.

It is an arithmetic number, because the mean of its divisors is an integer number (2437091712000).

Almost surely, 2^{463031040051426} is an apocalyptic number.

463031040051426 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 463031040051426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623895478272000).

463031040051426 is an abundant number, since it is smaller than the sum of its proper divisors (784759916492574).

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

463031040051426 is a wasteful number, since it uses less digits than its factorization.

463031040051426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37291 (or 37277 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 463031040051426 in words is "four hundred sixty-three trillion, thirty-one billion, forty million, fifty-one thousand, four hundred twenty-six".