42404402456 has 80 divisors (see below), whose sum is σ = 89889793200. Its totient is φ = 18718018176.

The previous prime is 42404402449. The next prime is 42404402473. The reversal of 42404402456 is 65420440424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5251190 + ... + 5259258.

It is an arithmetic number, because the mean of its divisors is an integer number (1123622415).

Almost surely, 2^42404402456 is an apocalyptic number.

42404402456 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42404402456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44944896600).

42404402456 is an abundant number, since it is smaller than the sum of its proper divisors (47485390744).

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

42404402456 is an equidigital number, since it uses as much as digits as its factorization.

42404402456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8150 (or 8107 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

The spelling of 42404402456 in words is "forty-two billion, four hundred four million, four hundred two thousand, four hundred fifty-six".