412034442120 has 96 divisors (see below), whose sum is σ = 1530413651520. Its totient is φ = 94179300480.

The previous prime is 412034442107. The next prime is 412034442133. The reversal of 412034442120 is 21244430214.

412034442120 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 3 + 444 + 212 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (412034442107) and next prime (412034442133).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81750346 + ... + 81755385.

It is an arithmetic number, because the mean of its divisors is an integer number (15941808870).

Almost surely, 2^412034442120 is an apocalyptic number.

412034442120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412034442120 is an abundant number, since it is smaller than the sum of its proper divisors (1118379209400).

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

412034442120 is a wasteful number, since it uses less digits than its factorization.

412034442120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163505755 (or 163505748 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 412034442120 its reverse (21244430214), we get a palindrome (433278872334).

The spelling of 412034442120 in words is "four hundred twelve billion, thirty-four million, four hundred forty-two thousand, one hundred twenty".