13357440000 has 440 divisors, whose sum is σ = 49495968720. Its totient is φ = 3557376000.

The previous prime is 13357439959. The next prime is 13357440007. The reversal of 13357440000 is 4475331.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13357440007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17279614 + ... + 17280386.

It is an arithmetic number, because the mean of its divisors is an integer number (112490838).

Almost surely, 2^13357440000 is an apocalyptic number.

13357440000 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 13357440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24747984360).

13357440000 is an abundant number, since it is smaller than the sum of its proper divisors (36138528720).

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

13357440000 is an frugal number, since it uses more digits than its factorization.

13357440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 13357440000 in words is "thirteen billion, three hundred fifty-seven million, four hundred forty thousand".