44166460000 has 360 divisors, whose sum is σ = 119935264680. Its totient is φ = 15994368000.

The previous prime is 44166459977. The next prime is 44166460031. The reversal of 44166460000 is 6466144.

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 59 ways as a sum of consecutive naturals, for example, 246739911 + ... + 246740089.

It is an arithmetic number, because the mean of its divisors is an integer number (333153513).

Almost surely, 2^44166460000 is an apocalyptic number.

44166460000 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 44166460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59967632340).

44166460000 is an abundant number, since it is smaller than the sum of its proper divisors (75768804680).

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

44166460000 is a wasteful number, since it uses less digits than its factorization.

44166460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 44166460000 in words is "forty-four billion, one hundred sixty-six million, four hundred sixty thousand".