960794000401 has 9 divisors (see below), whose sum is σ = 964719946281. Its totient is φ = 956883978612.

The previous prime is 960794000399. The next prime is 960794000407. The reversal of 960794000401 is 104000497069.

It is a happy number.

The square root of 960794000401 is 980201.

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

It is not a de Polignac number, because 960794000401 - 2¹ = 960794000399 is a prime.

It is a super-2 number, since 2×960794000401² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (960794000407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 257791000 + ... + 257794726.

Almost surely, 2^960794000401 is an apocalyptic number.

960794000401 is the 980201-st square number.

960794000401 is the 490101-st centered octagonal number.

It is an amenable number.

960794000401 is a deficient number, since it is larger than the sum of its proper divisors (3925945880).

960794000401 is an frugal number, since it uses more digits than its factorization.

960794000401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7980 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 960794000401 in words is "nine hundred sixty billion, seven hundred ninety-four million, four hundred one", and thus it is an aban number.