414103112240 has 20 divisors (see below), whose sum is σ = 962789736144. Its totient is φ = 165641244864.

The previous prime is 414103112239. The next prime is 414103112249. The reversal of 414103112240 is 42211301414.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (414103112249) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2588144372 + ... + 2588144531.

Almost surely, 2^414103112240 is an apocalyptic number.

414103112240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414103112240 is an abundant number, since it is smaller than the sum of its proper divisors (548686623904).

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

414103112240 is a wasteful number, since it uses less digits than its factorization.

414103112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5176288916 (or 5176288910 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 414103112240 its reverse (42211301414), we get a palindrome (456314413654).

The spelling of 414103112240 in words is "four hundred fourteen billion, one hundred three million, one hundred twelve thousand, two hundred forty".