44151440069025 has 135 divisors (see below), whose sum is σ = 82419465000873. Its totient is φ = 23365796414400.

The previous prime is 44151440068969. The next prime is 44151440069039. The reversal of 44151440069025 is 52096004415144.

The square root of 44151440069025 is 6644655.

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

44151440069025 is a `hidden beast` number, since 4 + 4 + 1 + 514 + 40 + 0 + 6 + 90 + 2 + 5 = 666.

44151440069025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13177139581089 + 30974300487936 = 3630033^2 + 5565456^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 44151440069025 - 2⁴⁵ = 8967067980193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 44552411280 + ... + 44552412270.

Almost surely, 2^{44151440069025} is an apocalyptic number.

44151440069025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

44151440069025 is the 6644655-th square number.

44151440069025 is the 3322328-th centered octagonal number.

It is an amenable number.

44151440069025 is a deficient number, since it is larger than the sum of its proper divisors (38268024931848).

44151440069025 is an frugal number, since it uses more digits than its factorization.

44151440069025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 44151440069025 in words is "forty-four trillion, one hundred fifty-one billion, four hundred forty million, sixty-nine thousand, twenty-five".