44142514200 has 72 divisors (see below), whose sum is σ = 148245282900. Its totient is φ = 11771336640.

The previous prime is 44142514147. The next prime is 44142514217. The reversal of 44142514200 is 241524144.

44142514200 is a `hidden beast` number, since 4 + 4 + 142 + 514 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12260010 + ... + 12263609.

Almost surely, 2^44142514200 is an apocalyptic number.

44142514200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44142514200 is an abundant number, since it is smaller than the sum of its proper divisors (104102768700).

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

44142514200 is a wasteful number, since it uses less digits than its factorization.

44142514200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24523641 (or 24523629 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

It can be divided in two parts, 441425 and 14200, that added together give a square (455625 = 675²).

The spelling of 44142514200 in words is "forty-four billion, one hundred forty-two million, five hundred fourteen thousand, two hundred".