401300909901 has 40 divisors (see below), whose sum is σ = 610176100248. Its totient is φ = 262770480000.

The previous prime is 401300909897. The next prime is 401300909903. The reversal of 401300909901 is 109909003104.

It can be written as a sum of positive squares in 4 ways, for example, as 1435652100 + 399865257801 = 37890^2 + 632349^2 .

It is not a de Polignac number, because 401300909901 - 2² = 401300909897 is a prime.

It is a super-2 number, since 2×401300909901² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401300909903) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3405711 + ... + 3521571.

Almost surely, 2^401300909901 is an apocalyptic number.

It is an amenable number.

401300909901 is a deficient number, since it is larger than the sum of its proper divisors (208875190347).

401300909901 is a wasteful number, since it uses less digits than its factorization.

401300909901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116635 (or 116626 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 401300909901 in words is "four hundred one billion, three hundred million, nine hundred nine thousand, nine hundred one".