426503024640 has 2184 divisors, whose sum is σ = 1984075525008. Its totient is φ = 86951854080.

The previous prime is 426503024611. The next prime is 426503024657. The reversal of 426503024640 is 46420305624.

426503024640 is a `hidden beast` number, since 4 + 2 + 6 + 5 + 0 + 3 + 0 + 2 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 426503024595 and 426503024604.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 8047226854 + ... + 8047226906.

Almost surely, 2^426503024640 is an apocalyptic number.

426503024640 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 426503024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992037762504).

426503024640 is an abundant number, since it is smaller than the sum of its proper divisors (1557572500368).

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

426503024640 is an equidigital number, since it uses as much as digits as its factorization.

426503024640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 426503024640 in words is "four hundred twenty-six billion, five hundred three million, twenty-four thousand, six hundred forty".