13411888640 has 160 divisors (see below), whose sum is σ = 32948980416. Its totient is φ = 5234360320.

The previous prime is 13411888613. The next prime is 13411888657. The reversal of 13411888640 is 4688811431.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×13411888640² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13411888591 and 13411888600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20538554 + ... + 20539206.

Almost surely, 2^13411888640 is an apocalyptic number.

13411888640 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 13411888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16474490208).

13411888640 is an abundant number, since it is smaller than the sum of its proper divisors (19537091776).

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

13411888640 is an equidigital number, since it uses as much as digits as its factorization.

13411888640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 44.

The spelling of 13411888640 in words is "thirteen billion, four hundred eleven million, eight hundred eighty-eight thousand, six hundred forty".