10034006476431 has 64 divisors (see below), whose sum is σ = 15543711129600. Its totient is φ = 5638836145536.

The previous prime is 10034006476423. The next prime is 10034006476433. The reversal of 10034006476431 is 13467460043001.

It is not a de Polignac number, because 10034006476431 - 2³ = 10034006476423 is a prime.

It is a super-2 number, since 2×10034006476431² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10034006476431.

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 3767932006 + ... + 3767934668.

It is an arithmetic number, because the mean of its divisors is an integer number (242870486400).

Almost surely, 2^{10034006476431} is an apocalyptic number.

10034006476431 is a deficient number, since it is larger than the sum of its proper divisors (5509704653169).

10034006476431 is a wasteful number, since it uses less digits than its factorization.

10034006476431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6148.

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 10034006476431 in words is "ten trillion, thirty-four billion, six million, four hundred seventy-six thousand, four hundred thirty-one".