4131400041314 has 64 divisors (see below), whose sum is σ = 8111436754176. Its totient is φ = 1531482107904.

The previous prime is 4131400041257. The next prime is 4131400041451.

It is a happy number.

4131400041314 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2238839 + ... + 3643514.

It is an arithmetic number, because the mean of its divisors is an integer number (126741199284).

Almost surely, 2^{4131400041314} is an apocalyptic number.

4131400041314 is a deficient number, since it is larger than the sum of its proper divisors (3980036712862).

4131400041314 is a wasteful number, since it uses less digits than its factorization.

4131400041314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882619.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 41314000 and 41314, that added together give a palindrome (41355314).

The spelling of 4131400041314 in words is "four trillion, one hundred thirty-one billion, four hundred million, forty-one thousand, three hundred fourteen".