44129142720 has 336 divisors, whose sum is σ = 164207403360. Its totient is φ = 10813022208.

The previous prime is 44129142713. The next prime is 44129142727. The reversal of 44129142720 is 2724192144.

It is a happy number.

44129142720 is a `hidden beast` number, since 441 + 2 + 9 + 142 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (44129142713) and next prime (44129142727).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44129142727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8571187 + ... + 8576333.

It is an arithmetic number, because the mean of its divisors is an integer number (488712510).

Almost surely, 2^44129142720 is an apocalyptic number.

44129142720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44129142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82103701680).

44129142720 is an abundant number, since it is smaller than the sum of its proper divisors (120078260640).

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

44129142720 is a wasteful number, since it uses less digits than its factorization.

44129142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5412 (or 5399 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 44129142720 in words is "forty-four billion, one hundred twenty-nine million, one hundred forty-two thousand, seven hundred twenty".