4491239040 has 192 divisors, whose sum is σ = 15684856200. Its totient is φ = 1184071680.

The previous prime is 4491238967. The next prime is 4491239041. The reversal of 4491239040 is 409321944.

4491239040 is a `hidden beast` number, since 449 + 123 + 90 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1831155264 + 2660083776 = 42792^2 + 51576^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4491239040² = 40342456228840243200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4491238986 and 4491239004.

It is not an unprimeable number, because it can be changed into a prime (4491239041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508260 + ... + 517020.

Almost surely, 2^4491239040 is an apocalyptic number.

4491239040 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 4491239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842428100).

4491239040 is an abundant number, since it is smaller than the sum of its proper divisors (11193617160).

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

4491239040 is a wasteful number, since it uses less digits than its factorization.

4491239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8875 (or 8860 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4491239040 is about 67016.7071706750. The cubic root of 4491239040 is about 1649.8915190388.

The spelling of 4491239040 in words is "four billion, four hundred ninety-one million, two hundred thirty-nine thousand, forty".