44133428731392 has 2400 divisors, whose sum is σ = 186265271697120. Its totient is φ = 10214613319680.

The previous prime is 44133428731361. The next prime is 44133428731393. The reversal of 44133428731392 is 29313782433144.

44133428731392 is a `hidden beast` number, since 4 + 4 + 13 + 3 + 428 + 73 + 139 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44133428731393) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8427232198 + ... + 8427237434.

Almost surely, 2^{44133428731392} is an apocalyptic number.

44133428731392 is a gapful number since it is divisible by the number (42) 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 44133428731392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93132635848560).

44133428731392 is an abundant number, since it is smaller than the sum of its proper divisors (142131842965728).

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

44133428731392 is a wasteful number, since it uses less digits than its factorization.

44133428731392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5334 (or 5302 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 44133428731392 in words is "forty-four trillion, one hundred thirty-three billion, four hundred twenty-eight million, seven hundred thirty-one thousand, three hundred ninety-two".