14256100041600 has 192 divisors, whose sum is σ = 47049397395840. Its totient is φ = 3794067486720.

The previous prime is 14256100041577. The next prime is 14256100041629. The reversal of 14256100041600 is 614000165241.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×14256100041600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3352647 + ... + 6304953.

It is an arithmetic number, because the mean of its divisors is an integer number (245048944770).

Almost surely, 2^{14256100041600} is an apocalyptic number.

14256100041600 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 14256100041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23524698697920).

14256100041600 is an abundant number, since it is smaller than the sum of its proper divisors (32793297354240).

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

14256100041600 is a wasteful number, since it uses less digits than its factorization.

14256100041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952837 (or 2952820 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 14256100041600 in words is "fourteen trillion, two hundred fifty-six billion, one hundred million, forty-one thousand, six hundred".