10459806401 has 12 divisors (see below), whose sum is σ = 11540893056. Its totient is φ = 9472730520.

The previous prime is 10459806349. The next prime is 10459806421. The reversal of 10459806401 is 10460895401.

It is a de Polignac number, because none of the positive numbers 2^k-10459806401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10459806421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132521 + ... + 196166.

It is an arithmetic number, because the mean of its divisors is an integer number (961741088).

Almost surely, 2^10459806401 is an apocalyptic number.

10459806401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10459806401 is a deficient number, since it is larger than the sum of its proper divisors (1081086655).

10459806401 is a wasteful number, since it uses less digits than its factorization.

10459806401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328972 (or 328961 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The spelling of 10459806401 in words is "ten billion, four hundred fifty-nine million, eight hundred six thousand, four hundred one".