424964842400 has 144 divisors (see below), whose sum is σ = 1189875718080. Its totient is φ = 145183180800.

The previous prime is 424964842399. The next prime is 424964842411. The reversal of 424964842400 is 4248469424.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1438571 + ... + 1708629.

It is an arithmetic number, because the mean of its divisors is an integer number (8263025820).

Almost surely, 2^424964842400 is an apocalyptic number.

424964842400 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 424964842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594937859040).

424964842400 is an abundant number, since it is smaller than the sum of its proper divisors (764910875680).

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

424964842400 is a wasteful number, since it uses less digits than its factorization.

424964842400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270367 (or 270354 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 47.

The spelling of 424964842400 in words is "four hundred twenty-four billion, nine hundred sixty-four million, eight hundred forty-two thousand, four hundred".