44110138103680 has 256 divisors, whose sum is σ = 115361975520000. Its totient is φ = 15994824294400.

The previous prime is 44110138103671. The next prime is 44110138103687. The reversal of 44110138103680 is 8630183101144.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44110138103687) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5181499104 + ... + 5181507616.

It is an arithmetic number, because the mean of its divisors is an integer number (450632716875).

Almost surely, 2^{44110138103680} is an apocalyptic number.

44110138103680 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 44110138103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57680987760000).

44110138103680 is an abundant number, since it is smaller than the sum of its proper divisors (71251837416320).

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

44110138103680 is a wasteful number, since it uses less digits than its factorization.

44110138103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10533 (or 10521 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 44110138103680 in words is "forty-four trillion, one hundred ten billion, one hundred thirty-eight million, one hundred three thousand, six hundred eighty".