426144460500 has 576 divisors, whose sum is σ = 1520248504320. Its totient is φ = 99554400000.

The previous prime is 426144460499. The next prime is 426144460541. The reversal of 426144460500 is 5064441624.

426144460500 is a `hidden beast` number, since 4 + 2 + 6 + 1 + 4 + 44 + 605 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 507919081 + ... + 507919919.

It is an arithmetic number, because the mean of its divisors is an integer number (2639320320).

Almost surely, 2^426144460500 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 426144460500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760124252160).

426144460500 is an abundant number, since it is smaller than the sum of its proper divisors (1094104043820).

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

426144460500 is a wasteful number, since it uses less digits than its factorization.

426144460500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 426144460500 in words is "four hundred twenty-six billion, one hundred forty-four million, four hundred sixty thousand, five hundred".