44119876416 has 448 divisors, whose sum is σ = 154848153600. Its totient is φ = 10733322240.

The previous prime is 44119876393. The next prime is 44119876417. The reversal of 44119876416 is 61467891144.

44119876416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×44119876416² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44119876417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87713221 + ... + 87713723.

It is an arithmetic number, because the mean of its divisors is an integer number (345643200).

Almost surely, 2^44119876416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44119876416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77424076800).

44119876416 is an abundant number, since it is smaller than the sum of its proper divisors (110728277184).

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

44119876416 is a wasteful number, since it uses less digits than its factorization.

44119876416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 892 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The spelling of 44119876416 in words is "forty-four billion, one hundred nineteen million, eight hundred seventy-six thousand, four hundred sixteen".