13203671040 has 576 divisors, whose sum is σ = 53088497280. Its totient is φ = 2972712960.

The previous prime is 13203671023. The next prime is 13203671053. The reversal of 13203671040 is 4017630231.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 13203670995 and 13203671013.

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, 62576535 + ... + 62576745.

It is an arithmetic number, because the mean of its divisors is an integer number (92167530).

Almost surely, 2^13203671040 is an apocalyptic number.

13203671040 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 13203671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26544248640).

13203671040 is an abundant number, since it is smaller than the sum of its proper divisors (39884826240).

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

13203671040 is a wasteful number, since it uses less digits than its factorization.

13203671040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 13203671040 in words is "thirteen billion, two hundred three million, six hundred seventy-one thousand, forty".