10701406401 has 24 divisors (see below), whose sum is σ = 16667602560. Its totient is φ = 6089483232.

The previous prime is 10701406393. The next prime is 10701406409. The reversal of 10701406401 is 10460410701.

It is an interprime number because it is at equal distance from previous prime (10701406393) and next prime (10701406409).

It is not a de Polignac number, because 10701406401 - 2³ = 10701406393 is a prime.

It is a super-2 number, since 2×10701406401² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10701406409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117166 + ... + 187431.

It is an arithmetic number, because the mean of its divisors is an integer number (694483440).

Almost surely, 2^10701406401 is an apocalyptic number.

It is an amenable number.

10701406401 is a deficient number, since it is larger than the sum of its proper divisors (5966196159).

10701406401 is a wasteful number, since it uses less digits than its factorization.

10701406401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304853 (or 304846 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 10701406401 in words is "ten billion, seven hundred one million, four hundred six thousand, four hundred one".