4410013161000 has 256 divisors, whose sum is σ = 13808552060160. Its totient is φ = 1171796889600.

The previous prime is 4410013160989. The next prime is 4410013161031. The reversal of 4410013161000 is 1613100144.

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, 1200655164 + ... + 1200658836.

It is an arithmetic number, because the mean of its divisors is an integer number (53939656485).

Almost surely, 2^{4410013161000} is an apocalyptic number.

4410013161000 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 4410013161000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6904276030080).

4410013161000 is an abundant number, since it is smaller than the sum of its proper divisors (9398538899160).

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

4410013161000 is a wasteful number, since it uses less digits than its factorization.

4410013161000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5021 (or 5007 counting only the distinct ones).

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

Adding to 4410013161000 its reverse (1613100144), we get a palindrome (4411626261144).

The spelling of 4410013161000 in words is "four trillion, four hundred ten billion, thirteen million, one hundred sixty-one thousand".