34101413412224 has 128 divisors (see below), whose sum is σ = 70274371957920. Its totient is φ = 16470981918720.

The previous prime is 34101413412223. The next prime is 34101413412239. The reversal of 34101413412224 is 42221431410143.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×34101413412224² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34101413412223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 368589779 + ... + 368682285.

Almost surely, 2^{34101413412224} 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 34101413412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35137185978960).

34101413412224 is an abundant number, since it is smaller than the sum of its proper divisors (36172958545696).

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

34101413412224 is a wasteful number, since it uses less digits than its factorization.

34101413412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93116 (or 93104 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 34101413412224 its reverse (42221431410143), we get a palindrome (76322844822367).

The spelling of 34101413412224 in words is "thirty-four trillion, one hundred one billion, four hundred thirteen million, four hundred twelve thousand, two hundred twenty-four".