4000903352496 has 80 divisors (see below), whose sum is σ = 11589433055200. Its totient is φ = 1321399256832.

The previous prime is 4000903352471. The next prime is 4000903352531. The reversal of 4000903352496 is 6942533090004.

4000903352496 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 9 + 0 + 33 + 524 + 96 = 666.

It is an unprimeable number.

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, 42436171 + ... + 42530346.

It is an arithmetic number, because the mean of its divisors is an integer number (144867913190).

Almost surely, 2^{4000903352496} is an apocalyptic number.

It is an amenable number.

4000903352496 is an abundant number, since it is smaller than the sum of its proper divisors (7588529702704).

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

4000903352496 is a wasteful number, since it uses less digits than its factorization.

4000903352496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84966643 (or 84966631 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 4000903352496 in words is "four trillion, nine hundred three million, three hundred fifty-two thousand, four hundred ninety-six".