414040352112 has 40 divisors (see below), whose sum is σ = 1188449160080. Its totient is φ = 138013450560.

The previous prime is 414040352111. The next prime is 414040352153. The reversal of 414040352112 is 211253040414.

414040352112 is a `hidden beast` number, since 4 + 1 + 40 + 403 + 5 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414040352111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 479212939 + ... + 479213802.

It is an arithmetic number, because the mean of its divisors is an integer number (29711229002).

Almost surely, 2^414040352112 is an apocalyptic number.

It is an amenable number.

414040352112 is an abundant number, since it is smaller than the sum of its proper divisors (774408807968).

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

414040352112 is a wasteful number, since it uses less digits than its factorization.

414040352112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958426758 (or 958426746 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 414040352112 its reverse (211253040414), we get a palindrome (625293392526).

The spelling of 414040352112 in words is "four hundred fourteen billion, forty million, three hundred fifty-two thousand, one hundred twelve".