13899867494400 has 2016 divisors, whose sum is σ = 54825469695360. Its totient is φ = 3487629312000.

The previous prime is 13899867494399. The next prime is 13899867494417. The reversal of 13899867494400 is 449476899831.

13899867494400 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 98 + 6 + 7 + 494 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 47439820654 + ... + 47439820946.

It is an arithmetic number, because the mean of its divisors is an integer number (27195173460).

Almost surely, 2^{13899867494400} is an apocalyptic number.

13899867494400 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 13899867494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27412734847680).

13899867494400 is an abundant number, since it is smaller than the sum of its proper divisors (40925602200960).

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

13899867494400 is an equidigital number, since it uses as much as digits as its factorization.

13899867494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 13899867494400 in words is "thirteen trillion, eight hundred ninety-nine billion, eight hundred sixty-seven million, four hundred ninety-four thousand, four hundred".