13004401410 has 192 divisors, whose sum is σ = 45397497600. Its totient is φ = 2494333440.

The previous prime is 13004401387. The next prime is 13004401427. The reversal of 13004401410 is 1410440031.

It is a super-2 number, since 2×13004401410² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17916 + ... + 162264.

It is an arithmetic number, because the mean of its divisors is an integer number (236445300).

Almost surely, 2^13004401410 is an apocalyptic number.

13004401410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13004401410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22698748800).

13004401410 is an abundant number, since it is smaller than the sum of its proper divisors (32393096190).

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

13004401410 is a wasteful number, since it uses less digits than its factorization.

13004401410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144393 (or 144390 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13004401410 its reverse (1410440031), we get a palindrome (14414841441).

It can be divided in two parts, 13004 and 401410, that added together give a palindrome (414414).

The spelling of 13004401410 in words is "thirteen billion, four million, four hundred one thousand, four hundred ten".