34031144401120 has 48 divisors (see below), whose sum is σ = 80407735853760. Its totient is φ = 13610907334144.

The previous prime is 34031144401117. The next prime is 34031144401127. The reversal of 34031144401120 is 2110444113043.

It is a super-2 number, since 2×34031144401120² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34031144401127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10703035 + ... + 13513594.

It is an arithmetic number, because the mean of its divisors is an integer number (1675161163620).

Almost surely, 2^{34031144401120} is an apocalyptic number.

It is an amenable number.

34031144401120 is an abundant number, since it is smaller than the sum of its proper divisors (46376591452640).

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

34031144401120 is a wasteful number, since it uses less digits than its factorization.

34031144401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24225427 (or 24225419 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 34031144401120 its reverse (2110444113043), we get a palindrome (36141588514163).

The spelling of 34031144401120 in words is "thirty-four trillion, thirty-one billion, one hundred forty-four million, four hundred one thousand, one hundred twenty".