424482918023040 has 1024 divisors, whose sum is σ = 1543822017454080. Its totient is φ = 98601703833600.

The previous prime is 424482918022993. The next prime is 424482918023093. The reversal of 424482918023040 is 40320819284424.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5027529625 + ... + 5027614055.

It is an arithmetic number, because the mean of its divisors is an integer number (1507638688920).

Almost surely, 2^{424482918023040} is an apocalyptic number.

424482918023040 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 424482918023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771911008727040).

424482918023040 is an abundant number, since it is smaller than the sum of its proper divisors (1119339099431040).

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

424482918023040 is a wasteful number, since it uses less digits than its factorization.

424482918023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84711 (or 84699 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 51.

The spelling of 424482918023040 in words is "four hundred twenty-four trillion, four hundred eighty-two billion, nine hundred eighteen million, twenty-three thousand, forty".