400414131 has 32 divisors (see below), whose sum is σ = 640136000. Its totient is φ = 245908224.

The previous prime is 400414127. The next prime is 400414169. The reversal of 400414131 is 131414004.

It is not a de Polignac number, because 400414131 - 2² = 400414127 is a prime.

It is a super-2 number, since 2×400414131² = 320662952608970322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (400414121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248055 + ... + 249663.

It is an arithmetic number, because the mean of its divisors is an integer number (20004250).

Almost surely, 2^400414131 is an apocalyptic number.

400414131 is a deficient number, since it is larger than the sum of its proper divisors (239721869).

400414131 is a wasteful number, since it uses less digits than its factorization.

400414131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 400414131 is about 20010.3505966287. The cubic root of 400414131 is about 737.0604906327.

Adding to 400414131 its reverse (131414004), we get a palindrome (531828135).

The spelling of 400414131 in words is "four hundred million, four hundred fourteen thousand, one hundred thirty-one".