4491002880 has 1320 divisors, whose sum is σ = 21346656408. Its totient is φ = 891813888.

The previous prime is 4491002837. The next prime is 4491002881. The reversal of 4491002880 is 882001944.

It can be written as a sum of positive squares in 4 ways, for example, as 329204736 + 4161798144 = 18144^2 + 64512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4491002881) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 264176632 + ... + 264176648.

Almost surely, 2^4491002880 is an apocalyptic number.

4491002880 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 4491002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10673328204).

4491002880 is an abundant number, since it is smaller than the sum of its proper divisors (16855653528).

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

4491002880 is a wasteful number, since it uses less digits than its factorization.

4491002880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4491002880 is about 67014.9451988137. The cubic root of 4491002880 is about 1649.8626001289.

The spelling of 4491002880 in words is "four billion, four hundred ninety-one million, two thousand, eight hundred eighty".