44201260666080 has 864 divisors, whose sum is σ = 186167040643584. Its totient is φ = 9348776994816.

The previous prime is 44201260666063. The next prime is 44201260666109. The reversal of 44201260666080 is 8066606210244.

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 143 ways as a sum of consecutive naturals, for example, 156330597 + ... + 156613083.

It is an arithmetic number, because the mean of its divisors is an integer number (215471111856).

Almost surely, 2^{44201260666080} is an apocalyptic number.

44201260666080 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 44201260666080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93083520321792).

44201260666080 is an abundant number, since it is smaller than the sum of its proper divisors (141965779977504).

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

44201260666080 is a wasteful number, since it uses less digits than its factorization.

44201260666080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282596 (or 282566 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 44201260666080 in words is "forty-four trillion, two hundred one billion, two hundred sixty million, six hundred sixty-six thousand, eighty".