13499821440 has 384 divisors, whose sum is σ = 54371304000. Its totient is φ = 3085221888.

The previous prime is 13499821409. The next prime is 13499821451. The reversal of 13499821440 is 4412899431.

13499821440 is a `hidden beast` number, since 1 + 349 + 98 + 214 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1972264 + ... + 1979096.

Almost surely, 2^13499821440 is an apocalyptic number.

13499821440 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 13499821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27185652000).

13499821440 is an abundant number, since it is smaller than the sum of its proper divisors (40871482560).

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

13499821440 is an equidigital number, since it uses as much as digits as its factorization.

13499821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6879 (or 6850 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 13499821440 in words is "thirteen billion, four hundred ninety-nine million, eight hundred twenty-one thousand, four hundred forty".