42214556160 has 800 divisors, whose sum is σ = 174920232960. Its totient is φ = 9531260928.

The previous prime is 42214556149. The next prime is 42214556171. The reversal of 42214556160 is 6165541224.

42214556160 is a `hidden beast` number, since 4 + 22 + 14 + 5 + 5 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42214556149) and next prime (42214556171).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 184342926 + ... + 184343154.

Almost surely, 2^42214556160 is an apocalyptic number.

42214556160 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 42214556160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87460116480).

42214556160 is an abundant number, since it is smaller than the sum of its proper divisors (132705676800).

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

42214556160 is a wasteful number, since it uses less digits than its factorization.

42214556160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 42214556160 in words is "forty-two billion, two hundred fourteen million, five hundred fifty-six thousand, one hundred sixty".