4447981440 has 384 divisors, whose sum is σ = 17734878720. Its totient is φ = 1006202880.

The previous prime is 4447981429. The next prime is 4447981471. The reversal of 4447981440 is 441897444.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4313725 + ... + 4314755.

It is an arithmetic number, because the mean of its divisors is an integer number (46184580).

Almost surely, 2^4447981440 is an apocalyptic number.

4447981440 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 4447981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8867439360).

4447981440 is an abundant number, since it is smaller than the sum of its proper divisors (13286897280).

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

4447981440 is a wasteful number, since it uses less digits than its factorization.

4447981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4447981440 is about 66693.1888576337. The cubic root of 4447981440 is about 1644.5774162961.

The spelling of 4447981440 in words is "four billion, four hundred forty-seven million, nine hundred eighty-one thousand, four hundred forty".