42621755256 has 128 divisors (see below), whose sum is σ = 119180160000. Its totient is φ = 14113209600.

The previous prime is 42621755251. The next prime is 42621755257. The reversal of 42621755256 is 65255712624.

42621755256 is a `hidden beast` number, since 4 + 26 + 21 + 7 + 552 + 56 = 666.

It is a super-2 number, since 2×42621755256² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42621755251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29373331 + ... + 29374781.

It is an arithmetic number, because the mean of its divisors is an integer number (931095000).

Almost surely, 2^42621755256 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 42621755256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59590080000).

42621755256 is an abundant number, since it is smaller than the sum of its proper divisors (76558404744).

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

42621755256 is a wasteful number, since it uses less digits than its factorization.

42621755256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2264 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 42621755256 in words is "forty-two billion, six hundred twenty-one million, seven hundred fifty-five thousand, two hundred fifty-six".