13069742400 has 756 divisors, whose sum is σ = 55082834716. Its totient is φ = 2919628800.

The previous prime is 13069742353. The next prime is 13069742423. The reversal of 13069742400 is 424796031.

It can be written as a sum of positive squares in 6 ways, for example, as 2509056 + 13067233344 = 1584^2 + 114312^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 22650912 + ... + 22651488.

Almost surely, 2^13069742400 is an apocalyptic number.

13069742400 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 13069742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27541417358).

13069742400 is an abundant number, since it is smaller than the sum of its proper divisors (42013092316).

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

13069742400 is a wasteful number, since it uses less digits than its factorization.

13069742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13069742400 in words is "thirteen billion, sixty-nine million, seven hundred forty-two thousand, four hundred".