34020441201144 has 64 divisors (see below), whose sum is σ = 85597115421600. Its totient is φ = 11267567714304.

The previous prime is 34020441200939. The next prime is 34020441201169. The reversal of 34020441201144 is 44110214402043.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4497949 + ... + 9395340.

Almost surely, 2^{34020441201144} is an apocalyptic number.

It is an amenable number.

34020441201144 is an abundant number, since it is smaller than the sum of its proper divisors (51576674220456).

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

34020441201144 is a wasteful number, since it uses less digits than its factorization.

34020441201144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13893952 (or 13893948 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 34020441201144 its reverse (44110214402043), we get a palindrome (78130655603187).

The spelling of 34020441201144 in words is "thirty-four trillion, twenty billion, four hundred forty-one million, two hundred one thousand, one hundred forty-four".