414040311312 has 40 divisors (see below), whose sum is σ = 1069646954880. Its totient is φ = 138007912320.

The previous prime is 414040311301. The next prime is 414040311331. The reversal of 414040311312 is 213113040414.

It is a super-2 number, since 2×414040311312² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1142137 + ... + 1460327.

It is an arithmetic number, because the mean of its divisors is an integer number (26741173872).

Almost surely, 2^414040311312 is an apocalyptic number.

It is an amenable number.

414040311312 is an abundant number, since it is smaller than the sum of its proper divisors (655606643568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414040311312 is a wasteful number, since it uses less digits than its factorization.

414040311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345311 (or 345305 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 414040311312 its reverse (213113040414), we get a palindrome (627153351726).

The spelling of 414040311312 in words is "four hundred fourteen billion, forty million, three hundred eleven thousand, three hundred twelve".