424428807600 has 540 divisors, whose sum is σ = 1715964021720. Its totient is φ = 96864768000.

The previous prime is 424428807589. The next prime is 424428807653. The reversal of 424428807600 is 6708824424.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 151526200 + ... + 151529000.

Almost surely, 2^424428807600 is an apocalyptic number.

424428807600 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 424428807600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857982010860).

424428807600 is an abundant number, since it is smaller than the sum of its proper divisors (1291535214120).

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

424428807600 is a wasteful number, since it uses less digits than its factorization.

424428807600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3698 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 424428807600 in words is "four hundred twenty-four billion, four hundred twenty-eight million, eight hundred seven thousand, six hundred".