13441653120 has 256 divisors, whose sum is σ = 50655974400. Its totient is φ = 2966347776.

The previous prime is 13441653083. The next prime is 13441653131. The reversal of 13441653120 is 2135614431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372517 + ... + 407003.

It is an arithmetic number, because the mean of its divisors is an integer number (197874900).

Almost surely, 2^13441653120 is an apocalyptic number.

13441653120 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 13441653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25327987200).

13441653120 is an abundant number, since it is smaller than the sum of its proper divisors (37214321280).

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

13441653120 is a wasteful number, since it uses less digits than its factorization.

13441653120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34545 (or 34533 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 13441653120 in words is "thirteen billion, four hundred forty-one million, six hundred fifty-three thousand, one hundred twenty".