422593251998400 has 3024 divisors, whose sum is σ = 1839001953484800. Its totient is φ = 91662814494720.

The previous prime is 422593251998381. The next prime is 422593251998479. The reversal of 422593251998400 is 4899152395224.

422593251998400 is a `hidden beast` number, since 4 + 2 + 2 + 5 + 9 + 32 + 5 + 199 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 587751393241 + ... + 587751393959.

Almost surely, 2^{422593251998400} is an apocalyptic number.

422593251998400 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 422593251998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919500976742400).

422593251998400 is an abundant number, since it is smaller than the sum of its proper divisors (1416408701486400).

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

422593251998400 is a wasteful number, since it uses less digits than its factorization.

422593251998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 422593251998400 in words is "four hundred twenty-two trillion, five hundred ninety-three billion, two hundred fifty-one million, nine hundred ninety-eight thousand, four hundred".