4480907235840 has 480 divisors, whose sum is σ = 17762221002240. Its totient is φ = 1022669586432.

The previous prime is 4480907235821. The next prime is 4480907235851. The reversal of 4480907235840 is 485327090844.

4480907235840 is a `hidden beast` number, since 4 + 480 + 9 + 0 + 72 + 3 + 58 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 109166041 + ... + 109207079.

It is an arithmetic number, because the mean of its divisors is an integer number (37004627088).

Almost surely, 2^{4480907235840} is an apocalyptic number.

4480907235840 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 4480907235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8881110501120).

4480907235840 is an abundant number, since it is smaller than the sum of its proper divisors (13281313766400).

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

4480907235840 is a wasteful number, since it uses less digits than its factorization.

4480907235840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41752 (or 41733 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 4480907235840 in words is "four trillion, four hundred eighty billion, nine hundred seven million, two hundred thirty-five thousand, eight hundred forty".