13400011442400 has 432 divisors, whose sum is σ = 50545849858560. Its totient is φ = 3057398374400.

The previous prime is 13400011442387. The next prime is 13400011442401. The reversal of 13400011442400 is 424411000431.

13400011442400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13400011442401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6751441 + ... + 8507759.

It is an arithmetic number, because the mean of its divisors is an integer number (117004282080).

Almost surely, 2^{13400011442400} is an apocalyptic number.

13400011442400 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 13400011442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25272924929280).

13400011442400 is an abundant number, since it is smaller than the sum of its proper divisors (37145838416160).

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

13400011442400 is a wasteful number, since it uses less digits than its factorization.

13400011442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756387 (or 1756357 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13400011442400 its reverse (424411000431), we get a palindrome (13824422442831).

The spelling of 13400011442400 in words is "thirteen trillion, four hundred billion, eleven million, four hundred forty-two thousand, four hundred".