414740033440 has 48 divisors (see below), whose sum is σ = 979909781760. Its totient is φ = 165881376000.

The previous prime is 414740033423. The next prime is 414740033483. The reversal of 414740033440 is 44330047414.

It is a junction number, because it is equal to n+sod(n) for n = 414740033396 and 414740033405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1805065 + ... + 2021815.

It is an arithmetic number, because the mean of its divisors is an integer number (20414787120).

Almost surely, 2^414740033440 is an apocalyptic number.

414740033440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414740033440 is an abundant number, since it is smaller than the sum of its proper divisors (565169748320).

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

414740033440 is a wasteful number, since it uses less digits than its factorization.

414740033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228725 (or 228717 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 34.

The spelling of 414740033440 in words is "four hundred fourteen billion, seven hundred forty million, thirty-three thousand, four hundred forty".