2142013320414 has 80 divisors (see below), whose sum is σ = 5244521529456. Its totient is φ = 648042595200.

The previous prime is 2142013320409. The next prime is 2142013320437. The reversal of 2142013320414 is 4140233102412.

2142013320414 is a `hidden beast` number, since 2 + 1 + 420 + 1 + 33 + 204 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 125404 + ... + 2073584.

Almost surely, 2^{2142013320414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142013320414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622260764728).

2142013320414 is an abundant number, since it is smaller than the sum of its proper divisors (3102508209042).

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

2142013320414 is a wasteful number, since it uses less digits than its factorization.

2142013320414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948823 (or 1948814 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2142013320414 its reverse (4140233102412), we get a palindrome (6282246422826).

The spelling of 2142013320414 in words is "two trillion, one hundred forty-two billion, thirteen million, three hundred twenty thousand, four hundred fourteen".