14270263015140 has 192 divisors, whose sum is σ = 48447334656000. Its totient is φ = 3458391500160.

The previous prime is 14270263015097. The next prime is 14270263015153. The reversal of 14270263015140 is 4151036207241.

14270263015140 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 0 + 2 + 630 + 1 + 5 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14270263015095 and 14270263015104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18989881 + ... + 19727039.

It is an arithmetic number, because the mean of its divisors is an integer number (252329868000).

Almost surely, 2^{14270263015140} is an apocalyptic number.

14270263015140 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 14270263015140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24223667328000).

14270263015140 is an abundant number, since it is smaller than the sum of its proper divisors (34177071640860).

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

14270263015140 is a wasteful number, since it uses less digits than its factorization.

14270263015140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740447 (or 740439 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 14270263015140 in words is "fourteen trillion, two hundred seventy billion, two hundred sixty-three million, fifteen thousand, one hundred forty".