1214460016140 has 96 divisors (see below), whose sum is σ = 3892739203584. Its totient is φ = 277128921600.

The previous prime is 1214460016111. The next prime is 1214460016157. The reversal of 1214460016140 is 416100644121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1214460016098 and 1214460016107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2153214 + ... + 2658053.

It is an arithmetic number, because the mean of its divisors is an integer number (40549366704).

Almost surely, 2^{1214460016140} is an apocalyptic number.

1214460016140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1214460016140 is an abundant number, since it is smaller than the sum of its proper divisors (2678279187444).

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

1214460016140 is a wasteful number, since it uses less digits than its factorization.

1214460016140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811887 (or 4811885 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 1214460016140 in words is "one trillion, two hundred fourteen billion, four hundred sixty million, sixteen thousand, one hundred forty".