42056258149656 has 192 divisors, whose sum is σ = 122234685300000. Its totient is φ = 13530852873216.

The previous prime is 42056258149649. The next prime is 42056258149681. The reversal of 42056258149656 is 65694185265024.

42056258149656 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 6 + 2 + 581 + 49 + 6 + 5 + 6 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42056258149593 and 42056258149602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171768090 + ... + 172012758.

Almost surely, 2^{42056258149656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42056258149656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61117342650000).

42056258149656 is an abundant number, since it is smaller than the sum of its proper divisors (80178427150344).

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

42056258149656 is a wasteful number, since it uses less digits than its factorization.

42056258149656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247768 (or 247752 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 42056258149656 in words is "forty-two trillion, fifty-six billion, two hundred fifty-eight million, one hundred forty-nine thousand, six hundred fifty-six".