13029442272000 has 3456 divisors, whose sum is σ = 62040791973888. Its totient is φ = 2644088832000.

The previous prime is 13029442271957. The next prime is 13029442272073. The reversal of 13029442272000 is 27224492031.

It is a happy number.

13029442272000 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 9 + 442 + 2 + 7 + 200 + 0 = 666.

13029442272000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 28141343769 + ... + 28141344231.

It is an arithmetic number, because the mean of its divisors is an integer number (17951618048).

Almost surely, 2^{13029442272000} is an apocalyptic number.

13029442272000 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 13029442272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31020395986944).

13029442272000 is an abundant number, since it is smaller than the sum of its proper divisors (49011349701888).

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

13029442272000 is an equidigital number, since it uses as much as digits as its factorization.

13029442272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13029442272000 in words is "thirteen trillion, twenty-nine billion, four hundred forty-two million, two hundred seventy-two thousand".