414048459489 has 24 divisors (see below), whose sum is σ = 662913669888. Its totient is φ = 228966887520.

The previous prime is 414048459457. The next prime is 414048459491. The reversal of 414048459489 is 984954840414.

It is not a de Polignac number, because 414048459489 - 2⁵ = 414048459457 is a prime.

It is a super-2 number, since 2×414048459489² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414048459449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45425382 + ... + 45434495.

It is an arithmetic number, because the mean of its divisors is an integer number (27621402912).

Almost surely, 2^414048459489 is an apocalyptic number.

414048459489 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

414048459489 is a deficient number, since it is larger than the sum of its proper divisors (248865210399).

414048459489 is a wasteful number, since it uses less digits than its factorization.

414048459489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90859925 (or 90859918 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 414048459489 in words is "four hundred fourteen billion, forty-eight million, four hundred fifty-nine thousand, four hundred eighty-nine".