13213542493440 has 864 divisors, whose sum is σ = 49057343741952. Its totient is φ = 3401782272000.

The previous prime is 13213542493429. The next prime is 13213542493451. The reversal of 13213542493440 is 4439424531231.

13213542493440 is a `hidden beast` number, since 1 + 3 + 2 + 13 + 54 + 249 + 344 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13213542493429) and next prime (13213542493451).

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 4734338445 + ... + 4734341235.

Almost surely, 2^{13213542493440} is an apocalyptic number.

13213542493440 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 13213542493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24528671870976).

13213542493440 is an abundant number, since it is smaller than the sum of its proper divisors (35843801248512).

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

13213542493440 is an equidigital number, since it uses as much as digits as its factorization.

13213542493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349 (or 3323 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 13213542493440 in words is "thirteen trillion, two hundred thirteen billion, five hundred forty-two million, four hundred ninety-three thousand, four hundred forty".