14126827034880 has 1728 divisors, whose sum is σ = 59342835202560. Its totient is φ = 3034842660864.

The previous prime is 14126827034813. The next prime is 14126827034893. The reversal of 14126827034880 is 8843072862141.

14126827034880 is a `hidden beast` number, since 1 + 4 + 1 + 26 + 8 + 270 + 348 + 8 + 0 = 666.

It is a super-2 number, since 2×14126827034880² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14169334542 + ... + 14169335538.

It is an arithmetic number, because the mean of its divisors is an integer number (34341918520).

Almost surely, 2^{14126827034880} is an apocalyptic number.

14126827034880 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 14126827034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29671417601280).

14126827034880 is an abundant number, since it is smaller than the sum of its proper divisors (45216008167680).

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

14126827034880 is a wasteful number, since it uses less digits than its factorization.

14126827034880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 14126827034880 in words is "fourteen trillion, one hundred twenty-six billion, eight hundred twenty-seven million, thirty-four thousand, eight hundred eighty".