34440443013144 has 32 divisors (see below), whose sum is σ = 98401265752320. Its totient is φ = 9840126575136.

The previous prime is 34440443013133. The next prime is 34440443013157. The reversal of 34440443013144 is 44131034404443.

It is a super-2 number, since 2×34440443013144² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 102501318324 + ... + 102501318659.

It is an arithmetic number, because the mean of its divisors is an integer number (3075039554760).

Almost surely, 2^{34440443013144} is an apocalyptic number.

It is an amenable number.

34440443013144 is an abundant number, since it is smaller than the sum of its proper divisors (63960822739176).

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

34440443013144 is a wasteful number, since it uses less digits than its factorization.

34440443013144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205002636999 (or 205002636995 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 39.

Adding to 34440443013144 its reverse (44131034404443), we get a palindrome (78571477417587).

The spelling of 34440443013144 in words is "thirty-four trillion, four hundred forty billion, four hundred forty-three million, thirteen thousand, one hundred forty-four".