34404550240400 has 120 divisors (see below), whose sum is σ = 85669722728040. Its totient is φ = 13267035463680.

The previous prime is 34404550240369. The next prime is 34404550240433. The reversal of 34404550240400 is 404205540443.

It can be written as a sum of positive squares in 12 ways, for example, as 29875048336 + 34374675192064 = 172844^2 + 5862992^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9050249 + ... + 12276648.

It is an arithmetic number, because the mean of its divisors is an integer number (713914356067).

Almost surely, 2^{34404550240400} is an apocalyptic number.

It is an amenable number.

34404550240400 is an abundant number, since it is smaller than the sum of its proper divisors (51265172487640).

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

34404550240400 is a wasteful number, since it uses less digits than its factorization.

34404550240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21327061 (or 21327050 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

Adding to 34404550240400 its reverse (404205540443), we get a palindrome (34808755780843).

The spelling of 34404550240400 in words is "thirty-four trillion, four hundred four billion, five hundred fifty million, two hundred forty thousand, four hundred".