422504957952 has 1440 divisors, whose sum is σ = 1653320148480. Its totient is φ = 105106636800.

The previous prime is 422504957947. The next prime is 422504957981. The reversal of 422504957952 is 259759405224.

422504957952 is a `hidden beast` number, since 4 + 2 + 25 + 0 + 49 + 579 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4355721168 + ... + 4355721264.

It is an arithmetic number, because the mean of its divisors is an integer number (1148138992).

Almost surely, 2^422504957952 is an apocalyptic number.

422504957952 is a gapful number since it is divisible by the number (42) 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 422504957952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826660074240).

422504957952 is an abundant number, since it is smaller than the sum of its proper divisors (1230815190528).

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

422504957952 is a wasteful number, since it uses less digits than its factorization.

422504957952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 422504957952 in words is "four hundred twenty-two billion, five hundred four million, nine hundred fifty-seven thousand, nine hundred fifty-two".