44414142133311 has 48 divisors (see below), whose sum is σ = 68131280855040. Its totient is φ = 27801838008000.

The previous prime is 44414142133301. The next prime is 44414142133381. The reversal of 44414142133311 is 11333124141444.

44414142133311 is a `hidden beast` number, since 4 + 4 + 414 + 14 + 213 + 3 + 3 + 11 = 666.

44414142133311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 44414142133311 - 2²⁷ = 44414007915583 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44414142133301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20307561 + ... + 22388061.

It is an arithmetic number, because the mean of its divisors is an integer number (1419401684480).

Almost surely, 2^{44414142133311} is an apocalyptic number.

44414142133311 is a deficient number, since it is larger than the sum of its proper divisors (23717138721729).

44414142133311 is a wasteful number, since it uses less digits than its factorization.

44414142133311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081636 (or 2081633 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 44414142133311 its reverse (11333124141444), we get a palindrome (55747266274755).

The spelling of 44414142133311 in words is "forty-four trillion, four hundred fourteen billion, one hundred forty-two million, one hundred thirty-three thousand, three hundred eleven".