13413083040 has 288 divisors, whose sum is σ = 52544733696. Its totient is φ = 3052154880.

The previous prime is 13413082993. The next prime is 13413083051. The reversal of 13413083040 is 4038031431.

13413083040 is a `hidden beast` number, since 13 + 41 + 308 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 13413082995 and 13413083013.

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, 2345785 + ... + 2351495.

It is an arithmetic number, because the mean of its divisors is an integer number (182446992).

Almost surely, 2^13413083040 is an apocalyptic number.

13413083040 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 13413083040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26272366848).

13413083040 is an abundant number, since it is smaller than the sum of its proper divisors (39131650656).

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

13413083040 is a wasteful number, since it uses less digits than its factorization.

13413083040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5972 (or 5961 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 13413083040 in words is "thirteen billion, four hundred thirteen million, eighty-three thousand, forty".