13033297440 has 384 divisors, whose sum is σ = 46657658880. Its totient is φ = 3397303296.

The previous prime is 13033297337. The next prime is 13033297441. The reversal of 13033297440 is 4479233031.

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 = 13033297395 and 13033297404.

It is not an unprimeable number, because it can be changed into a prime (13033297441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58445169 + ... + 58445391.

It is an arithmetic number, because the mean of its divisors is an integer number (121504320).

Almost surely, 2^13033297440 is an apocalyptic number.

13033297440 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 13033297440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23328829440).

13033297440 is an abundant number, since it is smaller than the sum of its proper divisors (33624361440).

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

13033297440 is a wasteful number, since it uses less digits than its factorization.

13033297440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 13033297440 in words is "thirteen billion, thirty-three million, two hundred ninety-seven thousand, four hundred forty".