34132401443140 has 144 divisors (see below), whose sum is σ = 96968135126016. Its totient is φ = 9820311240960.

The previous prime is 34132401443099. The next prime is 34132401443143. The reversal of 34132401443140 is 4134410423143.

It is a junction number, because it is equal to n+sod(n) for n = 34132401443096 and 34132401443105.

It is not an unprimeable number, because it can be changed into a prime (34132401443143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77275924 + ... + 77716363.

It is an arithmetic number, because the mean of its divisors is an integer number (673389827264).

Almost surely, 2^{34132401443140} is an apocalyptic number.

It is an amenable number.

34132401443140 is an abundant number, since it is smaller than the sum of its proper divisors (62835733682876).

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

34132401443140 is a wasteful number, since it uses less digits than its factorization.

34132401443140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154992338 (or 154992325 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 34132401443140 its reverse (4134410423143), we get a palindrome (38266811866283).

The spelling of 34132401443140 in words is "thirty-four trillion, one hundred thirty-two billion, four hundred one million, four hundred forty-three thousand, one hundred forty".