40430013456 has 160 divisors (see below), whose sum is σ = 124737159168. Its totient is φ = 11033003520.

The previous prime is 40430013427. The next prime is 40430013497. The reversal of 40430013456 is 65431003404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5846641 + ... + 5853551.

Almost surely, 2^40430013456 is an apocalyptic number.

40430013456 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 40430013456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62368579584).

40430013456 is an abundant number, since it is smaller than the sum of its proper divisors (84307145712).

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

40430013456 is a wasteful number, since it uses less digits than its factorization.

40430013456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7709 (or 7703 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 40430013456 in words is "forty billion, four hundred thirty million, thirteen thousand, four hundred fifty-six".