414430423120 has 80 divisors (see below), whose sum is σ = 1101305404800. Its totient is φ = 142076938752.

The previous prime is 414430423091. The next prime is 414430423151. The reversal of 414430423120 is 21324034414.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7194754 + ... + 7252126.

It is an arithmetic number, because the mean of its divisors is an integer number (13766317560).

Almost surely, 2^414430423120 is an apocalyptic number.

414430423120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414430423120 is an abundant number, since it is smaller than the sum of its proper divisors (686874981680).

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

414430423120 is a wasteful number, since it uses less digits than its factorization.

414430423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70292 (or 70286 counting only the distinct ones).

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

Adding to 414430423120 its reverse (21324034414), we get a palindrome (435754457534).

The spelling of 414430423120 in words is "four hundred fourteen billion, four hundred thirty million, four hundred twenty-three thousand, one hundred twenty".