44338602147840 has 8192 divisors, whose sum is σ = 243520929792000. Its totient is φ = 7338354278400.

The previous prime is 44338602147817. The next prime is 44338602147869. The reversal of 44338602147840 is 4874120683344.

44338602147840 is a `hidden beast` number, since 4 + 4 + 3 + 386 + 0 + 214 + 7 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (8192).

It is a super-2 number, since 2×44338602147840² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1430277488625 + ... + 1430277488655.

It is an arithmetic number, because the mean of its divisors is an integer number (29726676000).

Almost surely, 2^{44338602147840} is an apocalyptic number.

44338602147840 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 44338602147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121760464896000).

44338602147840 is an abundant number, since it is smaller than the sum of its proper divisors (199182327644160).

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

44338602147840 is a wasteful number, since it uses less digits than its factorization.

44338602147840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 44338602147840 in words is "forty-four trillion, three hundred thirty-eight billion, six hundred two million, one hundred forty-seven thousand, eight hundred forty".