401113701 has 40 divisors (see below), whose sum is σ = 617463000. Its totient is φ = 259338240.

The previous prime is 401113697. The next prime is 401113717. The reversal of 401113701 is 107311104.

It can be written as a sum of positive squares in 4 ways, for example, as 3709476 + 397404225 = 1926^2 + 19935^2 .

It is not a de Polignac number, because 401113701 - 2² = 401113697 is a prime.

It is a super-3 number, since 3×401113701³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401113001) 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, 893125 + ... + 893573.

It is an arithmetic number, because the mean of its divisors is an integer number (15436575).

Almost surely, 2^401113701 is an apocalyptic number.

401113701 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

401113701 is a deficient number, since it is larger than the sum of its proper divisors (216349299).

401113701 is a wasteful number, since it uses less digits than its factorization.

401113701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 401113701 is about 20027.8231717778. The cubic root of 401113701 is about 737.4894843277.

Adding to 401113701 its reverse (107311104), we get a palindrome (508424805).

The spelling of 401113701 in words is "four hundred one million, one hundred thirteen thousand, seven hundred one".