414311212120 has 64 divisors (see below), whose sum is σ = 1004024024640. Its totient is φ = 152958758400.

The previous prime is 414311212087. The next prime is 414311212157. The reversal of 414311212120 is 21212113414.

It is a junction number, because it is equal to n+sod(n) for n = 414311212091 and 414311212100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4982485 + ... + 5064955.

It is an arithmetic number, because the mean of its divisors is an integer number (15687875385).

Almost surely, 2^414311212120 is an apocalyptic number.

414311212120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414311212120 is an abundant number, since it is smaller than the sum of its proper divisors (589712812520).

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

414311212120 is a wasteful number, since it uses less digits than its factorization.

414311212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92156 (or 92152 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 414311212120 its reverse (21212113414), we get a palindrome (435523325534).

The spelling of 414311212120 in words is "four hundred fourteen billion, three hundred eleven million, two hundred twelve thousand, one hundred twenty".