4981440672 has 288 divisors, whose sum is σ = 16180819200. Its totient is φ = 1441069056.

The previous prime is 4981440643. The next prime is 4981440679. The reversal of 4981440672 is 2760441894.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×4981440672³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4981440679) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17001358 + ... + 17001650.

It is an arithmetic number, because the mean of its divisors is an integer number (56183400).

Almost surely, 2^4981440672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4981440672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8090409600).

4981440672 is an abundant number, since it is smaller than the sum of its proper divisors (11199378528).

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

4981440672 is a wasteful number, since it uses less digits than its factorization.

4981440672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4981440672 is about 70579.3218442909. The cubic root of 4981440672 is about 1707.8575898610.

The spelling of 4981440672 in words is "four billion, nine hundred eighty-one million, four hundred forty thousand, six hundred seventy-two".