34400440144 has 80 divisors (see below), whose sum is σ = 76627238400. Its totient is φ = 14655255552.

The previous prime is 34400440099. The next prime is 34400440169. The reversal of 34400440144 is 44104400443.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26687052 + ... + 26688340.

It is an arithmetic number, because the mean of its divisors is an integer number (957840480).

Almost surely, 2^34400440144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34400440144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38313619200).

34400440144 is an abundant number, since it is smaller than the sum of its proper divisors (42226798256).

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

34400440144 is a wasteful number, since it uses less digits than its factorization.

34400440144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 34400440144 its reverse (44104400443), we get a palindrome (78504840587).

The spelling of 34400440144 in words is "thirty-four billion, four hundred million, four hundred forty thousand, one hundred forty-four".