34124416534240 has 96 divisors (see below), whose sum is σ = 81963570880800. Its totient is φ = 13423917312000.

The previous prime is 34124416534199. The next prime is 34124416534249. The reversal of 34124416534240 is 4243561442143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34124416534249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4678266 + ... + 9493945.

It is an arithmetic number, because the mean of its divisors is an integer number (853787196675).

Almost surely, 2^{34124416534240} is an apocalyptic number.

It is an amenable number.

34124416534240 is an abundant number, since it is smaller than the sum of its proper divisors (47839154346560).

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

34124416534240 is a wasteful number, since it uses less digits than its factorization.

34124416534240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14172476 (or 14172468 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 43.

Adding to 34124416534240 its reverse (4243561442143), we get a palindrome (38367977976383).

The spelling of 34124416534240 in words is "thirty-four trillion, one hundred twenty-four billion, four hundred sixteen million, five hundred thirty-four thousand, two hundred forty".