42402440256 has 112 divisors (see below), whose sum is σ = 122939056128. Its totient is φ = 12791462400.

The previous prime is 42402440251. The next prime is 42402440317. The reversal of 42402440256 is 65204420424.

It is a super-4 number, since 4×42402440256⁴ (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (42402440251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425961 + ... + 515991.

It is an arithmetic number, because the mean of its divisors is an integer number (1097670144).

Almost surely, 2^42402440256 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 42402440256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61469528064).

42402440256 is an abundant number, since it is smaller than the sum of its proper divisors (80536615872).

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

42402440256 is a wasteful number, since it uses less digits than its factorization.

42402440256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90280 (or 90270 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

The spelling of 42402440256 in words is "forty-two billion, four hundred two million, four hundred forty thousand, two hundred fifty-six".