44115121296 has 135 divisors (see below), whose sum is σ = 129232145497. Its totient is φ = 14047207680.

The previous prime is 44115121241. The next prime is 44115121313. The reversal of 44115121296 is 69212151144.

The square root of 44115121296 is 210036.

It is a perfect power (a square), and thus also a powerful number.

44115121296 is a `hidden beast` number, since 4 + 4 + 11 + 512 + 129 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 115863696 + 43999257600 = 10764^2 + 209760^2 .

It is a super-2 number, since 2×44115121296² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 44115121296.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57969556 + ... + 57970316.

Almost surely, 2^44115121296 is an apocalyptic number.

44115121296 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

44115121296 is the 210036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44115121296

44115121296 is an abundant number, since it is smaller than the sum of its proper divisors (85117024201).

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

44115121296 is an equidigital number, since it uses as much as digits as its factorization.

44115121296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 789 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

Multiplying 44115121296 by its sum of digits (36), we get a square (1588144366656 = 1260216²).

44115121296 divided by its sum of digits (36) gives a square (1225420036 = 35006²).

The spelling of 44115121296 in words is "forty-four billion, one hundred fifteen million, one hundred twenty-one thousand, two hundred ninety-six".