13493154240 has 336 divisors, whose sum is σ = 49998514176. Its totient is φ = 3330201600.

The previous prime is 13493154239. The next prime is 13493154281. The reversal of 13493154240 is 4245139431.

13493154240 is a `hidden beast` number, since 1 + 3 + 49 + 31 + 542 + 40 = 666.

It is a super-2 number, since 2×13493154240² (a number of 21 digits) contains 22 as substring.

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 = 13493154195 and 13493154204.

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 47 ways as a sum of consecutive naturals, for example, 2050155 + ... + 2056725.

Almost surely, 2^13493154240 is an apocalyptic number.

13493154240 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 13493154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24999257088).

13493154240 is an abundant number, since it is smaller than the sum of its proper divisors (36505359936).

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

13493154240 is a wasteful number, since it uses less digits than its factorization.

13493154240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6648 (or 6635 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13493154240 in words is "thirteen billion, four hundred ninety-three million, one hundred fifty-four thousand, two hundred forty".