42402963456 has 672 divisors, whose sum is σ = 154571639040. Its totient is φ = 11338776576.

The previous prime is 42402963413. The next prime is 42402963497. The reversal of 42402963456 is 65436920424.

42402963456 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 2 + 9 + 634 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×42402963456² (a number of 22 digits) contains 22 as substring.

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, 236887975 + ... + 236888153.

It is an arithmetic number, because the mean of its divisors is an integer number (230017320).

Almost surely, 2^42402963456 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 42402963456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77285819520).

42402963456 is an abundant number, since it is smaller than the sum of its proper divisors (112168675584).

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

42402963456 is an equidigital number, since it uses as much as digits as its factorization.

42402963456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 42402963456 in words is "forty-two billion, four hundred two million, nine hundred sixty-three thousand, four hundred fifty-six".