34123204141140 has 96 divisors (see below), whose sum is σ = 101170899777024. Its totient is φ = 8563778058240.

The previous prime is 34123204141109. The next prime is 34123204141141. The reversal of 34123204141140 is 4114140232143.

It is a happy number.

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 = 34123204141098 and 34123204141107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34123204141141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17566770 + ... + 19412310.

It is an arithmetic number, because the mean of its divisors is an integer number (1053863539344).

Almost surely, 2^{34123204141140} is an apocalyptic number.

34123204141140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34123204141140 is an abundant number, since it is smaller than the sum of its proper divisors (67047695635884).

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

34123204141140 is a wasteful number, since it uses less digits than its factorization.

34123204141140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863697 (or 1863695 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 34123204141140 its reverse (4114140232143), we get a palindrome (38237344373283).

The spelling of 34123204141140 in words is "thirty-four trillion, one hundred twenty-three billion, two hundred four million, one hundred forty-one thousand, one hundred forty".