4401160311000 has 256 divisors, whose sum is σ = 14550859440000. Its totient is φ = 1103731507200.

The previous prime is 4401160310993. The next prime is 4401160311019. The reversal of 4401160311000 is 1130611044.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65705526 + ... + 65772474.

Almost surely, 2^{4401160311000} is an apocalyptic number.

4401160311000 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 4401160311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7275429720000).

4401160311000 is an abundant number, since it is smaller than the sum of its proper divisors (10149699129000).

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

4401160311000 is a wasteful number, since it uses less digits than its factorization.

4401160311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68279 (or 68265 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 4401160311000 its reverse (1130611044), we get a palindrome (4402290922044).

The spelling of 4401160311000 in words is "four trillion, four hundred one billion, one hundred sixty million, three hundred eleven thousand".