34414413442131 has 8 divisors (see below), whose sum is σ = 47366074415104. Its totient is φ = 22202847381960.

The previous prime is 34414413442109. The next prime is 34414413442223. The reversal of 34414413442131 is 13124431441443.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34414413442131 - 2⁵ = 34414413442099 is a prime.

It is a super-2 number, since 2×34414413442131² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34414413442131.

It is not an unprimeable number, because it can be changed into a prime (34414413443131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185023728091 + ... + 185023728276.

It is an arithmetic number, because the mean of its divisors is an integer number (5920759301888).

Almost surely, 2^{34414413442131} is an apocalyptic number.

34414413442131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

34414413442131 is a deficient number, since it is larger than the sum of its proper divisors (12951660972973).

34414413442131 is a wasteful number, since it uses less digits than its factorization.

34414413442131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370047456401.

The product of its digits is 221184, while the sum is 39.

Adding to 34414413442131 its reverse (13124431441443), we get a palindrome (47538844883574).

The spelling of 34414413442131 in words is "thirty-four trillion, four hundred fourteen billion, four hundred thirteen million, four hundred forty-two thousand, one hundred thirty-one".