13318028942400 has 3360 divisors, whose sum is σ = 64322145119232. Its totient is φ = 2622888345600.

The previous prime is 13318028942377. The next prime is 13318028942423. The reversal of 13318028942400 is 424982081331.

13318028942400 is a `hidden beast` number, since 1 + 3 + 3 + 180 + 28 + 9 + 42 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (13318028942377) and next prime (13318028942423).

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 36288907017 + ... + 36288907383.

Almost surely, 2^{13318028942400} is an apocalyptic number.

13318028942400 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 13318028942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32161072559616).

13318028942400 is an abundant number, since it is smaller than the sum of its proper divisors (51004116176832).

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

13318028942400 is a wasteful number, since it uses less digits than its factorization.

13318028942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 13318028942400 in words is "thirteen trillion, three hundred eighteen billion, twenty-eight million, nine hundred forty-two thousand, four hundred".