422616579840 has 1944 divisors, whose sum is σ = 1926212783040. Its totient is φ = 88038752256.

The previous prime is 422616579839. The next prime is 422616579857. The reversal of 422616579840 is 48975616224.

422616579840 is a `hidden beast` number, since 4 + 2 + 2 + 61 + 6 + 579 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5349576921 + ... + 5349576999.

Almost surely, 2^422616579840 is an apocalyptic number.

422616579840 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 422616579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963106391520).

422616579840 is an abundant number, since it is smaller than the sum of its proper divisors (1503596203200).

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

422616579840 is an frugal number, since it uses more digits than its factorization.

422616579840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 422616579840 in words is "four hundred twenty-two billion, six hundred sixteen million, five hundred seventy-nine thousand, eight hundred forty".