414222439040 has 32 divisors (see below), whose sum is σ = 990250519860. Its totient is φ = 165688975360.

The previous prime is 414222439039. The next prime is 414222439069. The reversal of 414222439040 is 40934222414.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 409016527936 + 5205911104 = 639544^2 + 72152^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×414222439040² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 323610641 + ... + 323611920.

Almost surely, 2^414222439040 is an apocalyptic number.

414222439040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414222439040 is an abundant number, since it is smaller than the sum of its proper divisors (576028080820).

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

414222439040 is an equidigital number, since it uses as much as digits as its factorization.

414222439040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647222580 (or 647222568 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 414222439040 in words is "four hundred fourteen billion, two hundred twenty-two million, four hundred thirty-nine thousand, forty".