2134300413042 has 128 divisors (see below), whose sum is σ = 5640225177600. Its totient is φ = 585564527808.

The previous prime is 2134300413031. The next prime is 2134300413127. The reversal of 2134300413042 is 2403140034312.

2134300413042 is a `hidden beast` number, since 2 + 13 + 4 + 300 + 41 + 304 + 2 = 666.

It is a super-2 number, since 2×2134300413042² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2134300412997 and 2134300413015.

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, 191742 + ... + 2074937.

It is an arithmetic number, because the mean of its divisors is an integer number (44064259200).

Almost surely, 2^{2134300413042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134300413042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820112588800).

2134300413042 is an abundant number, since it is smaller than the sum of its proper divisors (3505924764558).

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

2134300413042 is a wasteful number, since it uses less digits than its factorization.

2134300413042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266797 (or 2266791 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2134300413042 its reverse (2403140034312), we get a palindrome (4537440447354).

The spelling of 2134300413042 in words is "two trillion, one hundred thirty-four billion, three hundred million, four hundred thirteen thousand, forty-two".