13208963040 has 288 divisors, whose sum is σ = 55478195136. Its totient is φ = 2786918400.

The previous prime is 13208963021. The next prime is 13208963051. The reversal of 13208963040 is 4036980231.

13208963040 is a `hidden beast` number, since 13 + 2 + 0 + 8 + 9 + 630 + 4 + 0 = 666.

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

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 = 13208962986 and 13208963004.

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, 80640 + ... + 181440.

It is an arithmetic number, because the mean of its divisors is an integer number (192632622).

Almost surely, 2^13208963040 is an apocalyptic number.

13208963040 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 13208963040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27739097568).

13208963040 is an abundant number, since it is smaller than the sum of its proper divisors (42269232096).

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

13208963040 is a wasteful number, since it uses less digits than its factorization.

13208963040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100842 (or 100831 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 13208963040 in words is "thirteen billion, two hundred eight million, nine hundred sixty-three thousand, forty".