4404594802960 has 160 divisors (see below), whose sum is σ = 11391703920000. Its totient is φ = 1570171699200.

The previous prime is 4404594802943. The next prime is 4404594802967. The reversal of 4404594802960 is 692084954044.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (4404594802967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58215555 + ... + 58291165.

It is an arithmetic number, because the mean of its divisors is an integer number (71198149500).

Almost surely, 2^{4404594802960} is an apocalyptic number.

4404594802960 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 4404594802960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5695851960000).

4404594802960 is an abundant number, since it is smaller than the sum of its proper divisors (6987109117040).

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

4404594802960 is a wasteful number, since it uses less digits than its factorization.

4404594802960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76937 (or 76931 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 55.

The spelling of 4404594802960 in words is "four trillion, four hundred four billion, five hundred ninety-four million, eight hundred two thousand, nine hundred sixty".