44861238240 has 384 divisors, whose sum is σ = 176530959360. Its totient is φ = 9323347968.

The previous prime is 44861238217. The next prime is 44861238241. The reversal of 44861238240 is 4283216844.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 44861238192 and 44861238201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44861238241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2918896 + ... + 2934224.

It is an arithmetic number, because the mean of its divisors is an integer number (459716040).

Almost surely, 2^44861238240 is an apocalyptic number.

44861238240 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 44861238240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88265479680).

44861238240 is an abundant number, since it is smaller than the sum of its proper divisors (131669721120).

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

44861238240 is a wasteful number, since it uses less digits than its factorization.

44861238240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15434 (or 15426 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 44861238240 in words is "forty-four billion, eight hundred sixty-one million, two hundred thirty-eight thousand, two hundred forty".