10402553639401 has 27 divisors (see below), whose sum is σ = 13301339502717. Its totient is φ = 8105692434840.

The previous prime is 10402553639383. The next prime is 10402553639407. The reversal of 10402553639401 is 10493635520401.

The square root of 10402553639401 is 3225299.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 10402553639401 - 2⁵ = 10402553639369 is a prime.

It is a super-2 number, since 2×10402553639401² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10402553639407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 248327080 + ... + 248368966.

Almost surely, 2^{10402553639401} is an apocalyptic number.

10402553639401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10402553639401 is the 3225299-th square number.

10402553639401 is the 1612650-th centered octagonal number.

It is an amenable number.

10402553639401 is a deficient number, since it is larger than the sum of its proper divisors (2898785863316).

10402553639401 is an frugal number, since it uses more digits than its factorization.

10402553639401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83810 (or 41905 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 10402553639401 in words is "ten trillion, four hundred two billion, five hundred fifty-three million, six hundred thirty-nine thousand, four hundred one".