3431200122414 has 96 divisors (see below), whose sum is σ = 7801917387264. Its totient is φ = 1087758239040.

The previous prime is 3431200122407. The next prime is 3431200122421. The reversal of 3431200122414 is 4142210021343.

3431200122414 is a `hidden beast` number, since 3 + 4 + 3 + 120 + 0 + 122 + 414 = 666.

It is an interprime number because it is at equal distance from previous prime (3431200122407) and next prime (3431200122421).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53979919 + ... + 54043445.

It is an arithmetic number, because the mean of its divisors is an integer number (81269972784).

Almost surely, 2^{3431200122414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431200122414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900958693632).

3431200122414 is an abundant number, since it is smaller than the sum of its proper divisors (4370717264850).

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

3431200122414 is a wasteful number, since it uses less digits than its factorization.

3431200122414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64302 (or 64299 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 3431200122414 its reverse (4142210021343), we get a palindrome (7573410143757).

The spelling of 3431200122414 in words is "three trillion, four hundred thirty-one billion, two hundred million, one hundred twenty-two thousand, four hundred fourteen".