13350283412400 has 960 divisors, whose sum is σ = 52476541286400. Its totient is φ = 3196732032000.

The previous prime is 13350283412387. The next prime is 13350283412423. The reversal of 13350283412400 is 421438205331.

13350283412400 is a `hidden beast` number, since 1 + 3 + 3 + 50 + 28 + 341 + 240 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3532753711 + ... + 3532757489.

It is an arithmetic number, because the mean of its divisors is an integer number (54663063840).

Almost surely, 2^{13350283412400} is an apocalyptic number.

13350283412400 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 13350283412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26238270643200).

13350283412400 is an abundant number, since it is smaller than the sum of its proper divisors (39126257874000).

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

13350283412400 is a wasteful number, since it uses less digits than its factorization.

13350283412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 13350283412400 in words is "thirteen trillion, three hundred fifty billion, two hundred eighty-three million, four hundred twelve thousand, four hundred".