14127875040 has 192 divisors, whose sum is σ = 45634046976. Its totient is φ = 3672594432.

The previous prime is 14127875033. The next prime is 14127875107. The reversal of 14127875040 is 4057872141.

It is a super-4 number, since 4×14127875040⁴ (a number of 42 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14127875040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4145017 + ... + 4148423.

It is an arithmetic number, because the mean of its divisors is an integer number (237677328).

Almost surely, 2^14127875040 is an apocalyptic number.

14127875040 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 14127875040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22817023488).

14127875040 is an abundant number, since it is smaller than the sum of its proper divisors (31506171936).

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

14127875040 is a wasteful number, since it uses less digits than its factorization.

14127875040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The spelling of 14127875040 in words is "fourteen billion, one hundred twenty-seven million, eight hundred seventy-five thousand, forty".