4142414135340 has 288 divisors, whose sum is σ = 13726245064896. Its totient is φ = 1005114931200.

The previous prime is 4142414135329. The next prime is 4142414135357. The reversal of 4142414135340 is 435314142414.

It is a happy number.

4142414135340 is a `hidden beast` number, since 4 + 1 + 4 + 241 + 41 + 35 + 340 = 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 = 4142414135295 and 4142414135304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53610574 + ... + 53687786.

It is an arithmetic number, because the mean of its divisors is an integer number (47660573142).

Almost surely, 2^{4142414135340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142414135340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6863122532448).

4142414135340 is an abundant number, since it is smaller than the sum of its proper divisors (9583830929556).

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

4142414135340 is a wasteful number, since it uses less digits than its factorization.

4142414135340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77569 (or 77564 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 4142414135340 its reverse (435314142414), we get a palindrome (4577728277754).

The spelling of 4142414135340 in words is "four trillion, one hundred forty-two billion, four hundred fourteen million, one hundred thirty-five thousand, three hundred forty".