14098717127040 has 1536 divisors, whose sum is σ = 58417583616000. Its totient is φ = 2864580526080.

The previous prime is 14098717127003. The next prime is 14098717127059. The reversal of 14098717127040 is 4072171789041.

It is a happy number.

It is a super-3 number, since 3×14098717127040³ (a number of 40 digits) contains 333 as substring.

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, 3961424781 + ... + 3961428339.

It is an arithmetic number, because the mean of its divisors is an integer number (38032281000).

Almost surely, 2^{14098717127040} is an apocalyptic number.

14098717127040 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 14098717127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29208791808000).

14098717127040 is an abundant number, since it is smaller than the sum of its proper divisors (44318866488960).

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

14098717127040 is a wasteful number, since it uses less digits than its factorization.

14098717127040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 51.

The spelling of 14098717127040 in words is "fourteen trillion, ninety-eight billion, seven hundred seventeen million, one hundred twenty-seven thousand, forty".