414040251131 has 16 divisors (see below), whose sum is σ = 462906632160. Its totient is φ = 367698696960.

The previous prime is 414040251103. The next prime is 414040251133. The reversal of 414040251131 is 131152040414.

It is a cyclic number.

It is not a de Polignac number, because 414040251131 - 2²⁶ = 413973142267 is a prime.

It is a super-2 number, since 2×414040251131² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414040251131.

It is not an unprimeable number, because it can be changed into a prime (414040251133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1848245 + ... + 2060118.

It is an arithmetic number, because the mean of its divisors is an integer number (28931664510).

Almost surely, 2^414040251131 is an apocalyptic number.

414040251131 is a deficient number, since it is larger than the sum of its proper divisors (48866381029).

414040251131 is a wasteful number, since it uses less digits than its factorization.

414040251131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3908686.

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 414040251131 its reverse (131152040414), we get a palindrome (545192291545).

The spelling of 414040251131 in words is "four hundred fourteen billion, forty million, two hundred fifty-one thousand, one hundred thirty-one".