42141621456 has 60 divisors (see below), whose sum is σ = 128659652160. Its totient is φ = 12770187840.

The previous prime is 42141621443. The next prime is 42141621479. The reversal of 42141621456 is 65412614124.

42141621456 is a `hidden beast` number, since 4 + 2 + 141 + 62 + 1 + 456 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42141621456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13300696 + ... + 13303863.

It is an arithmetic number, because the mean of its divisors is an integer number (2144327536).

Almost surely, 2^42141621456 is an apocalyptic number.

It is an amenable number.

42141621456 is an abundant number, since it is smaller than the sum of its proper divisors (86518030704).

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

42141621456 is a wasteful number, since it uses less digits than its factorization.

42141621456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26604584 (or 26604575 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 42141621456 in words is "forty-two billion, one hundred forty-one million, six hundred twenty-one thousand, four hundred fifty-six".