44054861760 has 672 divisors, whose sum is σ = 188361718272. Its totient is φ = 9202360320.

The previous prime is 44054861759. The next prime is 44054861791. The reversal of 44054861760 is 6716845044.

44054861760 is a `hidden beast` number, since 4 + 40 + 548 + 6 + 1 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28041775 + ... + 28043345.

It is an arithmetic number, because the mean of its divisors is an integer number (280300176).

Almost surely, 2^44054861760 is an apocalyptic number.

44054861760 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 44054861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94180859136).

44054861760 is an abundant number, since it is smaller than the sum of its proper divisors (144306856512).

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

44054861760 is a wasteful number, since it uses less digits than its factorization.

44054861760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 44054861760 in words is "forty-four billion, fifty-four million, eight hundred sixty-one thousand, seven hundred sixty".