414102431040 has 56 divisors (see below), whose sum is σ = 1314775221600. Its totient is φ = 110427314688.

The previous prime is 414102430997. The next prime is 414102431051. The reversal of 414102431040 is 40134201414.

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

It is a self number, because there is not a number n which added to its sum of digits gives 414102431040.

It is a congruent number.

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, 215677390 + ... + 215679309.

Almost surely, 2^414102431040 is an apocalyptic number.

414102431040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414102431040 is an abundant number, since it is smaller than the sum of its proper divisors (900672790560).

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

414102431040 is a wasteful number, since it uses less digits than its factorization.

414102431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431356719 (or 431356709 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 414102431040 its reverse (40134201414), we get a palindrome (454236632454).

The spelling of 414102431040 in words is "four hundred fourteen billion, one hundred two million, four hundred thirty-one thousand, forty".