14040127458000 has 960 divisors, whose sum is σ = 57103738698240. Its totient is φ = 3148637184000.

The previous prime is 14040127457999. The next prime is 14040127458013. The reversal of 14040127458000 is 85472104041.

It is a happy number.

14040127458000 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 0 + 1 + 2 + 74 + 580 + 0 + 0 = 666.

14040127458000 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 (36).

It is a congruent number.

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, 4586776470 + ... + 4586779530.

It is an arithmetic number, because the mean of its divisors is an integer number (59483061144).

Almost surely, 2^{14040127458000} is an apocalyptic number.

14040127458000 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 14040127458000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28551869349120).

14040127458000 is an abundant number, since it is smaller than the sum of its proper divisors (43063611240240).

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

14040127458000 is a wasteful number, since it uses less digits than its factorization.

14040127458000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3773 (or 3754 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 14040127458000 in words is "fourteen trillion, forty billion, one hundred twenty-seven million, four hundred fifty-eight thousand".