414000403344 has 160 divisors (see below), whose sum is σ = 1298651702400. Its totient is φ = 125233367040.

The previous prime is 414000403331. The next prime is 414000403381. The reversal of 414000403344 is 443304000414.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2627332 + ... + 2780444.

It is an arithmetic number, because the mean of its divisors is an integer number (8116573140).

Almost surely, 2^414000403344 is an apocalyptic number.

414000403344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414000403344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649325851200).

414000403344 is an abundant number, since it is smaller than the sum of its proper divisors (884651299056).

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

414000403344 is a wasteful number, since it uses less digits than its factorization.

414000403344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153710 (or 153698 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 414000403344 its reverse (443304000414), we get a palindrome (857304403758).

The spelling of 414000403344 in words is "four hundred fourteen billion, four hundred three thousand, three hundred forty-four".