44367406720 has 320 divisors, whose sum is σ = 133314267240. Its totient is φ = 14035230720.

The previous prime is 44367406661. The next prime is 44367406723. The reversal of 44367406720 is 2760476344.

It can be written as a sum of positive squares in 4 ways, for example, as 31533235776 + 12834170944 = 177576^2 + 113288^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×44367406720³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (44367406723) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19975210 + ... + 19977430.

Almost surely, 2^44367406720 is an apocalyptic number.

44367406720 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 44367406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66657133620).

44367406720 is an abundant number, since it is smaller than the sum of its proper divisors (88946860520).

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

44367406720 is an equidigital number, since it uses as much as digits as its factorization.

44367406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 43.

The spelling of 44367406720 in words is "forty-four billion, three hundred sixty-seven million, four hundred six thousand, seven hundred twenty".