44376779911680 has 480 divisors, whose sum is σ = 154843563663360. Its totient is φ = 11745069465600.

The previous prime is 44376779911619. The next prime is 44376779911721. The reversal of 44376779911680 is 8611997767344.

44376779911680 is a `hidden beast` number, since 4 + 4 + 376 + 7 + 7 + 9 + 91 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 44376779911599 and 44376779911608.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4449687174 + ... + 4449697146.

It is an arithmetic number, because the mean of its divisors is an integer number (322590757632).

Almost surely, 2^{44376779911680} is an apocalyptic number.

44376779911680 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 44376779911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77421781831680).

44376779911680 is an abundant number, since it is smaller than the sum of its proper divisors (110466783751680).

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

44376779911680 is a wasteful number, since it uses less digits than its factorization.

44376779911680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11432 (or 11413 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 72.

The spelling of 44376779911680 in words is "forty-four trillion, three hundred seventy-six billion, seven hundred seventy-nine million, nine hundred eleven thousand, six hundred eighty".