13494349440 has 1024 divisors, whose sum is σ = 57905971200. Its totient is φ = 2926264320.

The previous prime is 13494349411. The next prime is 13494349441. The reversal of 13494349440 is 4494349431.

13494349440 is a `hidden beast` number, since 1 + 3 + 494 + 34 + 94 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13494349441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106254657 + ... + 106254783.

It is an arithmetic number, because the mean of its divisors is an integer number (56548800).

Almost surely, 2^13494349440 is an apocalyptic number.

13494349440 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 13494349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28952985600).

13494349440 is an abundant number, since it is smaller than the sum of its proper divisors (44411621760).

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

13494349440 is a wasteful number, since it uses less digits than its factorization.

13494349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

Subtracting from 13494349440 its reverse (4494349431), we obtain a palindrome (9000000009).

The spelling of 13494349440 in words is "thirteen billion, four hundred ninety-four million, three hundred forty-nine thousand, four hundred forty".