14125609742400 has 1344 divisors, whose sum is σ = 57593635993600. Its totient is φ = 3364208640000.

The previous prime is 14125609742371. The next prime is 14125609742411. The reversal of 14125609742400 is 424790652141.

14125609742400 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 560 + 9 + 7 + 42 + 40 + 0 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2942220000 + ... + 2942224800.

Almost surely, 2^{14125609742400} is an apocalyptic number.

14125609742400 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 14125609742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28796817996800).

14125609742400 is an abundant number, since it is smaller than the sum of its proper divisors (43468026251200).

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

14125609742400 is a wasteful number, since it uses less digits than its factorization.

14125609742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4902 (or 4855 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 14125609742400 in words is "fourteen trillion, one hundred twenty-five billion, six hundred nine million, seven hundred forty-two thousand, four hundred".