414321332120 has 32 divisors (see below), whose sum is σ = 945352905120. Its totient is φ = 163394327040.

The previous prime is 414321332041. The next prime is 414321332141. The reversal of 414321332120 is 21233123414.

It is a self number, because there is not a number n which added to its sum of digits gives 414321332120.

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, 72941057 + ... + 72946736.

It is an arithmetic number, because the mean of its divisors is an integer number (29542278285).

Almost surely, 2^414321332120 is an apocalyptic number.

414321332120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414321332120 is an abundant number, since it is smaller than the sum of its proper divisors (531031573000).

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

414321332120 is a wasteful number, since it uses less digits than its factorization.

414321332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145887875 (or 145887871 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 414321332120 its reverse (21233123414), we get a palindrome (435554455534).

The spelling of 414321332120 in words is "four hundred fourteen billion, three hundred twenty-one million, three hundred thirty-two thousand, one hundred twenty".