13455721440 has 216 divisors, whose sum is σ = 53414688600. Its totient is φ = 3075577344.

The previous prime is 13455721403. The next prime is 13455721451. The reversal of 13455721440 is 4412755431.

13455721440 is a `hidden beast` number, since 1 + 3 + 45 + 572 + 1 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13455721395 and 13455721404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24790 + ... + 165909.

It is an arithmetic number, because the mean of its divisors is an integer number (247290225).

Almost surely, 2^13455721440 is an apocalyptic number.

13455721440 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 13455721440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26707344300).

13455721440 is an abundant number, since it is smaller than the sum of its proper divisors (39958967160).

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

13455721440 is a wasteful number, since it uses less digits than its factorization.

13455721440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190734 (or 190716 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 13455721440 in words is "thirteen billion, four hundred fifty-five million, seven hundred twenty-one thousand, four hundred forty".