34144210412200 has 48 divisors (see below), whose sum is σ = 90726044813280. Its totient is φ = 11706586426560.

The previous prime is 34144210412197. The next prime is 34144210412267. The reversal of 34144210412200 is 221401244143.

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

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, 12194359462 + ... + 12194362261.

It is an arithmetic number, because the mean of its divisors is an integer number (1890125933610).

Almost surely, 2^{34144210412200} is an apocalyptic number.

It is an amenable number.

34144210412200 is an abundant number, since it is smaller than the sum of its proper divisors (56581834401080).

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

34144210412200 is a wasteful number, since it uses less digits than its factorization.

34144210412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24388721746 (or 24388721737 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 34144210412200 its reverse (221401244143), we get a palindrome (34365611656343).

The spelling of 34144210412200 in words is "thirty-four trillion, one hundred forty-four billion, two hundred ten million, four hundred twelve thousand, two hundred".