422138254752 has 144 divisors (see below), whose sum is σ = 1245587353920. Its totient is φ = 140636984832.

The previous prime is 422138254751. The next prime is 422138254817. The reversal of 422138254752 is 257452831224.

422138254752 is a `hidden beast` number, since 4 + 2 + 21 + 3 + 82 + 547 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×422138254752² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 422138254698 and 422138254707.

It is not an unprimeable number, because it can be changed into a prime (422138254751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15483949 + ... + 15511187.

It is an arithmetic number, because the mean of its divisors is an integer number (8649912180).

Almost surely, 2^422138254752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422138254752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622793676960).

422138254752 is an abundant number, since it is smaller than the sum of its proper divisors (823449099168).

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

422138254752 is a wasteful number, since it uses less digits than its factorization.

422138254752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29257 (or 29237 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The spelling of 422138254752 in words is "four hundred twenty-two billion, one hundred thirty-eight million, two hundred fifty-four thousand, seven hundred fifty-two".