422760038400 has 1440 divisors, whose sum is σ = 1830673940480. Its totient is φ = 93640458240.

The previous prime is 422760038387. The next prime is 422760038453. The reversal of 422760038400 is 4830067224.

422760038400 is a `hidden beast` number, since 4 + 2 + 2 + 7 + 600 + 3 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3328819137 + ... + 3328819263.

Almost surely, 2^422760038400 is an apocalyptic number.

422760038400 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 422760038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915336970240).

422760038400 is an abundant number, since it is smaller than the sum of its proper divisors (1407913902080).

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

422760038400 is a wasteful number, since it uses less digits than its factorization.

422760038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 422760038400 in words is "four hundred twenty-two billion, seven hundred sixty million, thirty-eight thousand, four hundred".