4499436065040 has 480 divisors, whose sum is σ = 18109521630720. Its totient is φ = 979374219264.

The previous prime is 4499436065027. The next prime is 4499436065041. The reversal of 4499436065040 is 405606349944.

4499436065040 is a `hidden beast` number, since 4 + 4 + 99 + 43 + 6 + 0 + 6 + 504 + 0 = 666.

It is a super-4 number, since 4×4499436065040⁴ (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4499436065041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10458829 + ... + 10880531.

It is an arithmetic number, because the mean of its divisors is an integer number (37728170064).

Almost surely, 2^{4499436065040} is an apocalyptic number.

4499436065040 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 4499436065040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9054760815360).

4499436065040 is an abundant number, since it is smaller than the sum of its proper divisors (13610085565680).

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

4499436065040 is a wasteful number, since it uses less digits than its factorization.

4499436065040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421831 (or 421822 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 4499436065040 in words is "four trillion, four hundred ninety-nine billion, four hundred thirty-six million, sixty-five thousand, forty".