426171934629504 has 768 divisors, whose sum is σ = 1459001873472000. Its totient is φ = 116870959890432.

The previous prime is 426171934629487. The next prime is 426171934629583. The reversal of 426171934629504 is 405926439171624.

426171934629504 is a `hidden beast` number, since 4 + 2 + 6 + 1 + 71 + 9 + 34 + 6 + 29 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 7447535037 + ... + 7447592259.

It is an arithmetic number, because the mean of its divisors is an integer number (1899742022750).

Almost surely, 2^{426171934629504} 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 426171934629504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729500936736000).

426171934629504 is an abundant number, since it is smaller than the sum of its proper divisors (1032829938842496).

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

426171934629504 is a wasteful number, since it uses less digits than its factorization.

426171934629504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57625 (or 57610 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 426171934629504 in words is "four hundred twenty-six trillion, one hundred seventy-one billion, nine hundred thirty-four million, six hundred twenty-nine thousand, five hundred four".