424941263904960 has 672 divisors, whose sum is σ = 1632281130005760. Its totient is φ = 100593264844800.

The previous prime is 424941263904953. The next prime is 424941263904961. The reversal of 424941263904960 is 69409362149424.

It is a happy number.

424941263904960 is a `hidden beast` number, since 4 + 2 + 4 + 94 + 1 + 26 + 39 + 0 + 496 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (424941263904961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 353677711 + ... + 354877169.

Almost surely, 2^{424941263904960} is an apocalyptic number.

424941263904960 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 424941263904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816140565002880).

424941263904960 is an abundant number, since it is smaller than the sum of its proper divisors (1207339866100800).

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

424941263904960 is a wasteful number, since it uses less digits than its factorization.

424941263904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199757 (or 1199744 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 424941263904960 in words is "four hundred twenty-four trillion, nine hundred forty-one billion, two hundred sixty-three million, nine hundred four thousand, nine hundred sixty".