422436457820160 has 3120 divisors, whose sum is σ = 1823042659409664. Its totient is φ = 92032422248448.

The previous prime is 422436457820107. The next prime is 422436457820203. The reversal of 422436457820160 is 61028754634224.

It is a happy number.

422436457820160 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 3 + 6 + 4 + 578 + 2 + 0 + 1 + 60 = 666.

It is a super-3 number, since 3×422436457820160³ (a number of 45 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 422436457820097 and 422436457820106.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1492708331379 + ... + 1492708331661.

Almost surely, 2^{422436457820160} is an apocalyptic number.

422436457820160 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 422436457820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911521329704832).

422436457820160 is an abundant number, since it is smaller than the sum of its proper divisors (1400606201589504).

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

422436457820160 is an frugal number, since it uses more digits than its factorization.

422436457820160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 422436457820160 in words is "four hundred twenty-two trillion, four hundred thirty-six billion, four hundred fifty-seven million, eight hundred twenty thousand, one hundred sixty".