13411414500 has 192 divisors, whose sum is σ = 43001038080. Its totient is φ = 3220992000.

The previous prime is 13411414487. The next prime is 13411414519. The reversal of 13411414500 is 541411431.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1794772 + ... + 1802228.

It is an arithmetic number, because the mean of its divisors is an integer number (223963740).

Almost surely, 2^13411414500 is an apocalyptic number.

13411414500 is a gapful number since it is divisible by the number (10) 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 13411414500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21500519040).

13411414500 is an abundant number, since it is smaller than the sum of its proper divisors (29589623580).

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

13411414500 is a wasteful number, since it uses less digits than its factorization.

13411414500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7599 (or 7587 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 13411414500 its reverse (541411431), we get a palindrome (13952825931).

The spelling of 13411414500 in words is "thirteen billion, four hundred eleven million, four hundred fourteen thousand, five hundred".