422544435120 has 240 divisors, whose sum is σ = 1443637458432. Its totient is φ = 110733765120.

The previous prime is 422544435113. The next prime is 422544435139. The reversal of 422544435120 is 21534445224.

422544435120 is a `hidden beast` number, since 4 + 2 + 2 + 544 + 43 + 51 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 20781279 + ... + 20801601.

Almost surely, 2^422544435120 is an apocalyptic number.

422544435120 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 422544435120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721818729216).

422544435120 is an abundant number, since it is smaller than the sum of its proper divisors (1021093023312).

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

422544435120 is a wasteful number, since it uses less digits than its factorization.

422544435120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20840 (or 20831 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 422544435120 in words is "four hundred twenty-two billion, five hundred forty-four million, four hundred thirty-five thousand, one hundred twenty".