414431213120 has 56 divisors (see below), whose sum is σ = 990533172600. Its totient is φ = 165156196352.

The previous prime is 414431213113. The next prime is 414431213143. The reversal of 414431213120 is 21312134414.

It can be written as a sum of positive squares in 4 ways, for example, as 12292600384 + 402138612736 = 110872^2 + 634144^2 .

It is a super-3 number, since 3×414431213120³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 414431213120.

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, 2321165 + ... + 2493324.

Almost surely, 2^414431213120 is an apocalyptic number.

414431213120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414431213120 is an abundant number, since it is smaller than the sum of its proper divisors (576101959480).

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

414431213120 is a wasteful number, since it uses less digits than its factorization.

414431213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4814775 (or 4814765 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 414431213120 its reverse (21312134414), we get a palindrome (435743347534).

The spelling of 414431213120 in words is "four hundred fourteen billion, four hundred thirty-one million, two hundred thirteen thousand, one hundred twenty".