34143220314400 has 72 divisors (see below), whose sum is σ = 84596198465520. Its totient is φ = 13453447983360.

The previous prime is 34143220314389. The next prime is 34143220314449. The reversal of 34143220314400 is 441302234143.

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 11 ways as a sum of consecutive naturals, for example, 318446590 + ... + 318553789.

It is an arithmetic number, because the mean of its divisors is an integer number (1174947200910).

Almost surely, 2^{34143220314400} is an apocalyptic number.

It is an amenable number.

34143220314400 is an abundant number, since it is smaller than the sum of its proper divisors (50452978151120).

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

34143220314400 is a wasteful number, since it uses less digits than its factorization.

34143220314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637000466 (or 637000453 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 34143220314400 its reverse (441302234143), we get a palindrome (34584522548543).

The spelling of 34143220314400 in words is "thirty-four trillion, one hundred forty-three billion, two hundred twenty million, three hundred fourteen thousand, four hundred".