42187214160 has 240 divisors, whose sum is σ = 174374089344. Its totient is φ = 8901024768.

The previous prime is 42187214141. The next prime is 42187214177. The reversal of 42187214160 is 6141278124.

It is a happy number.

42187214160 is a `hidden beast` number, since 4 + 218 + 7 + 21 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×42187214160² (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256422 + ... + 387461.

Almost surely, 2^42187214160 is an apocalyptic number.

42187214160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42187214160 is an abundant number, since it is smaller than the sum of its proper divisors (132186875184).

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

42187214160 is a wasteful number, since it uses less digits than its factorization.

42187214160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643922 (or 643913 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 42187214160 in words is "forty-two billion, one hundred eighty-seven million, two hundred fourteen thousand, one hundred sixty".