44387429760 has 768 divisors, whose sum is σ = 170978895360. Its totient is φ = 10964533248.

The previous prime is 44387429729. The next prime is 44387429761. The reversal of 44387429760 is 6792478344.

It is a super-4 number, since 4×44387429760⁴ (a number of 44 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 44387429697 and 44387429706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44387429761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 272315439 + ... + 272315601.

It is an arithmetic number, because the mean of its divisors is an integer number (222628770).

Almost surely, 2^44387429760 is an apocalyptic number.

44387429760 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 44387429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85489447680).

44387429760 is an abundant number, since it is smaller than the sum of its proper divisors (126591465600).

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

44387429760 is a wasteful number, since it uses less digits than its factorization.

44387429760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 44387429760 in words is "forty-four billion, three hundred eighty-seven million, four hundred twenty-nine thousand, seven hundred sixty".