422389262400 has 672 divisors, whose sum is σ = 1692837937152. Its totient is φ = 90004684800.

The previous prime is 422389262389. The next prime is 422389262413. The reversal of 422389262400 is 4262983224.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 61114945 + ... + 61121855.

Almost surely, 2^422389262400 is an apocalyptic number.

422389262400 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 422389262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846418968576).

422389262400 is an abundant number, since it is smaller than the sum of its proper divisors (1270448674752).

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

422389262400 is a wasteful number, since it uses less digits than its factorization.

422389262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7067 (or 7052 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 422389262400 in words is "four hundred twenty-two billion, three hundred eighty-nine million, two hundred sixty-two thousand, four hundred".