34144010022400 has 120 divisors (see below), whose sum is σ = 84598630106760. Its totient is φ = 13656929525760.

The previous prime is 34144010022337. The next prime is 34144010022467. The reversal of 34144010022400 is 422001044143.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 319805827 + ... + 319912573.

It is an arithmetic number, because the mean of its divisors is an integer number (704988584223).

Almost surely, 2^{34144010022400} 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 34144010022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42299315053380).

34144010022400 is an abundant number, since it is smaller than the sum of its proper divisors (50454620084360).

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

34144010022400 is a wasteful number, since it uses less digits than its factorization.

34144010022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131764 (or 131743 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 34144010022400 its reverse (422001044143), we get a palindrome (34566011066543).

The spelling of 34144010022400 in words is "thirty-four trillion, one hundred forty-four billion, ten million, twenty-two thousand, four hundred".