13415455840 has 144 divisors (see below), whose sum is σ = 33554666880. Its totient is φ = 5063270400.

The previous prime is 13415455829. The next prime is 13415455853. The reversal of 13415455840 is 4855451431.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 13415455793 and 13415455802.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 8336956 + ... + 8338564.

It is an arithmetic number, because the mean of its divisors is an integer number (233018520).

Almost surely, 2^13415455840 is an apocalyptic number.

13415455840 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 13415455840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16777333440).

13415455840 is an abundant number, since it is smaller than the sum of its proper divisors (20139211040).

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

13415455840 is a wasteful number, since it uses less digits than its factorization.

13415455840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 40.

The spelling of 13415455840 in words is "thirteen billion, four hundred fifteen million, four hundred fifty-five thousand, eight hundred forty".