34212413440 has 160 divisors (see below), whose sum is σ = 84959740800. Its totient is φ = 13212057600.

The previous prime is 34212413407. The next prime is 34212413447. The reversal of 34212413440 is 4431421243.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 34212413399 and 34212413408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34212413447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81264430 + ... + 81264850.

It is an arithmetic number, because the mean of its divisors is an integer number (530998380).

Almost surely, 2^34212413440 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 34212413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42479870400).

34212413440 is an abundant number, since it is smaller than the sum of its proper divisors (50747327360).

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

34212413440 is an frugal number, since it uses more digits than its factorization.

34212413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 34212413440 its reverse (4431421243), we get a palindrome (38643834683).

The spelling of 34212413440 in words is "thirty-four billion, two hundred twelve million, four hundred thirteen thousand, four hundred forty".