14077022400000 has 2400 divisors, whose sum is σ = 61268663554560. Its totient is φ = 3151042560000.

The previous prime is 14077022399989. The next prime is 14077022400013. The reversal of 14077022400000 is 422077041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 53524799869 + ... + 53524800131.

Almost surely, 2^{14077022400000} is an apocalyptic number.

14077022400000 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 14077022400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30634331777280).

14077022400000 is an abundant number, since it is smaller than the sum of its proper divisors (47191641154560).

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

14077022400000 is an frugal number, since it uses more digits than its factorization.

14077022400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

Adding to 14077022400000 its reverse (422077041), we get a palindrome (14077444477041).

The spelling of 14077022400000 in words is "fourteen trillion, seventy-seven billion, twenty-two million, four hundred thousand".