42255884160 has 192 divisors, whose sum is σ = 166759987680. Its totient is φ = 9658478592.

The previous prime is 42255884141. The next prime is 42255884171. The reversal of 42255884160 is 6148855224.

42255884160 is a `hidden beast` number, since 4 + 2 + 2 + 5 + 588 + 4 + 1 + 60 = 666.

42255884160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×42255884160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483687 + ... + 564326.

Almost surely, 2^42255884160 is an apocalyptic number.

42255884160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42255884160 is an abundant number, since it is smaller than the sum of its proper divisors (124504103520).

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

42255884160 is a wasteful number, since it uses less digits than its factorization.

42255884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048045 (or 1048030 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 42255884160 in words is "forty-two billion, two hundred fifty-five million, eight hundred eighty-four thousand, one hundred sixty".