44340033004344 has 192 divisors, whose sum is σ = 156229139888640. Its totient is φ = 11016157236480.

The previous prime is 44340033004339. The next prime is 44340033004369.

44340033004344 is a `hidden beast` number, since 4 + 4 + 3 + 4 + 0 + 0 + 3 + 300 + 4 + 344 = 666.

44340033004344 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44340033004299 and 44340033004308.

It is a congruent number.

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, 173738607 + ... + 173993630.

It is an arithmetic number, because the mean of its divisors is an integer number (813693436920).

Almost surely, 2^{44340033004344} is an apocalyptic number.

44340033004344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44340033004344 is an abundant number, since it is smaller than the sum of its proper divisors (111889106884296).

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

44340033004344 is a wasteful number, since it uses less digits than its factorization.

44340033004344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347732290 (or 347732283 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 4434003 and 3004344, that added together give a palindrome (7438347).

The spelling of 44340033004344 in words is "forty-four trillion, three hundred forty billion, thirty-three million, four thousand, three hundred forty-four".