424315536400 has 240 divisors, whose sum is σ = 1191491283328. Its totient is φ = 142207488000.

The previous prime is 424315536383. The next prime is 424315536413. The reversal of 424315536400 is 4635513424.

It is a self number, because there is not a number n which added to its sum of digits gives 424315536400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27832780 + ... + 27848020.

Almost surely, 2^424315536400 is an apocalyptic number.

424315536400 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 424315536400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595745641664).

424315536400 is an abundant number, since it is smaller than the sum of its proper divisors (767175746928).

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

424315536400 is a wasteful number, since it uses less digits than its factorization.

424315536400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15490 (or 15479 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 424315536400 in words is "four hundred twenty-four billion, three hundred fifteen million, five hundred thirty-six thousand, four hundred".