10034006476432 has 80 divisors (see below), whose sum is σ = 20794647470080. Its totient is φ = 4682224310400.

The previous prime is 10034006476423. The next prime is 10034006476433. The reversal of 10034006476432 is 23467460043001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10034006476433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1292694 + ... + 4662517.

It is an arithmetic number, because the mean of its divisors is an integer number (259933093376).

Almost surely, 2^{10034006476432} is an apocalyptic number.

It is an amenable number.

10034006476432 is an abundant number, since it is smaller than the sum of its proper divisors (10760640993648).

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

10034006476432 is a wasteful number, since it uses less digits than its factorization.

10034006476432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5955372 (or 5955366 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 40.

The spelling of 10034006476432 in words is "ten trillion, thirty-four billion, six million, four hundred seventy-six thousand, four hundred thirty-two".