414004440344 has 32 divisors (see below), whose sum is σ = 857546611200. Its totient is φ = 185801759520.

The previous prime is 414004440323. The next prime is 414004440361. The reversal of 414004440344 is 443044400414.

It is a self number, because there is not a number n which added to its sum of digits gives 414004440344.

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, 29768972 + ... + 29782875.

It is an arithmetic number, because the mean of its divisors is an integer number (26798331600).

Almost surely, 2^414004440344 is an apocalyptic number.

414004440344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

414004440344 is an abundant number, since it is smaller than the sum of its proper divisors (443542170856).

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

414004440344 is a wasteful number, since it uses less digits than its factorization.

414004440344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59551943 (or 59551939 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 414004440344 its reverse (443044400414), we get a palindrome (857048840758).

The spelling of 414004440344 in words is "four hundred fourteen billion, four million, four hundred forty thousand, three hundred forty-four".