34012220430141 has 64 divisors (see below), whose sum is σ = 51238453616640. Its totient is φ = 22294126895040.

The previous prime is 34012220430131. The next prime is 34012220430143. The reversal of 34012220430141 is 14103402221043.

34012220430141 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 2 + 220 + 430 + 1 + 4 + 1 = 666.

It is not a de Polignac number, because 34012220430141 - 2⁶ = 34012220430077 is a prime.

It is a super-2 number, since 2×34012220430141² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34012220430143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1981247340 + ... + 1981264506.

It is an arithmetic number, because the mean of its divisors is an integer number (800600837760).

Almost surely, 2^{34012220430141} is an apocalyptic number.

It is an amenable number.

34012220430141 is a deficient number, since it is larger than the sum of its proper divisors (17226233186499).

34012220430141 is a wasteful number, since it uses less digits than its factorization.

34012220430141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20023 (or 20017 counting only the distinct ones).

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

Adding to 34012220430141 its reverse (14103402221043), we get a palindrome (48115622651184).

The spelling of 34012220430141 in words is "thirty-four trillion, twelve billion, two hundred twenty million, four hundred thirty thousand, one hundred forty-one".