34413220410000 has 100 divisors (see below), whose sum is σ = 111090464009712. Its totient is φ = 9176858768000.

The previous prime is 34413220409933. The next prime is 34413220410013. The reversal of 34413220410000 is 1402231443.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 573523674 + ... + 573583673.

Almost surely, 2^{34413220410000} is an apocalyptic number.

34413220410000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34413220410000 is an abundant number, since it is smaller than the sum of its proper divisors (76677243599712).

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

34413220410000 is a wasteful number, since it uses less digits than its factorization.

34413220410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147107378 (or 1147107357 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34413220410000 its reverse (1402231443), we get a palindrome (34414622641443).

The spelling of 34413220410000 in words is "thirty-four trillion, four hundred thirteen billion, two hundred twenty million, four hundred ten thousand".