414344413000 has 64 divisors (see below), whose sum is σ = 1108075363200. Its totient is φ = 142060939200.

The previous prime is 414344412997. The next prime is 414344413009. The reversal of 414344413000 is 314443414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 414344413000.

It is not an unprimeable number, because it can be changed into a prime (414344413009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29589030 + ... + 29603029.

It is an arithmetic number, because the mean of its divisors is an integer number (17313677550).

Almost surely, 2^414344413000 is an apocalyptic number.

414344413000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414344413000 is an abundant number, since it is smaller than the sum of its proper divisors (693730950200).

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

414344413000 is a wasteful number, since it uses less digits than its factorization.

414344413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59192087 (or 59192073 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 414344413000 its reverse (314443414), we get a palindrome (414658856414).

The spelling of 414344413000 in words is "four hundred fourteen billion, three hundred forty-four million, four hundred thirteen thousand".