34413430240000 has 360 divisors, whose sum is σ = 98171533053440. Its totient is φ = 11790365184000.

The previous prime is 34413430239989. The next prime is 34413430240001. The reversal of 34413430240000 is 4203431443.

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

It is not an unprimeable number, because it can be changed into a prime (34413430240001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1660949641 + ... + 1660970359.

Almost surely, 2^{34413430240000} 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 34413430240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49085766526720).

34413430240000 is an abundant number, since it is smaller than the sum of its proper divisors (63758102813440).

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

34413430240000 is an equidigital number, since it uses as much as digits as its factorization.

34413430240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22245 (or 22216 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 34413430240000 its reverse (4203431443), we get a palindrome (34417633671443).

The spelling of 34413430240000 in words is "thirty-four trillion, four hundred thirteen billion, four hundred thirty million, two hundred forty thousand".