42629872541256 has 768 divisors, whose sum is σ = 155637201807360. Its totient is φ = 10180199854080.

The previous prime is 42629872541239. The next prime is 42629872541261. The reversal of 42629872541256 is 65214527892624.

It is a happy number.

42629872541256 is a `hidden beast` number, since 4 + 2 + 6 + 2 + 9 + 87 + 2 + 541 + 2 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 42629872541193 and 42629872541202.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29873771215 + ... + 29873772641.

It is an arithmetic number, because the mean of its divisors is an integer number (202652606520).

Almost surely, 2^{42629872541256} 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 42629872541256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77818600903680).

42629872541256 is an abundant number, since it is smaller than the sum of its proper divisors (113007329266104).

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

42629872541256 is a wasteful number, since it uses less digits than its factorization.

42629872541256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2827 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 42629872541256 in words is "forty-two trillion, six hundred twenty-nine billion, eight hundred seventy-two million, five hundred forty-one thousand, two hundred fifty-six".