13878042400800 has 720 divisors, whose sum is σ = 51071867253792. Its totient is φ = 3682390118400.

The previous prime is 13878042400799. The next prime is 13878042400853. The reversal of 13878042400800 is 800424087831.

13878042400800 is a `hidden beast` number, since 13 + 87 + 80 + 4 + 2 + 400 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×13878042400800³ (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3322488312 + ... + 3322492488.

Almost surely, 2^{13878042400800} is an apocalyptic number.

13878042400800 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 13878042400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25535933626896).

13878042400800 is an abundant number, since it is smaller than the sum of its proper divisors (37193824852992).

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

13878042400800 is an frugal number, since it uses more digits than its factorization.

13878042400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4435 (or 4398 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 13878042400800 in words is "thirteen trillion, eight hundred seventy-eight billion, forty-two million, four hundred thousand, eight hundred".