34233210322440 has 128 divisors (see below), whose sum is σ = 106257931920000. Its totient is φ = 8812663021568.

The previous prime is 34233210322429. The next prime is 34233210322463. The reversal of 34233210322440 is 4422301233243.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21139672 + ... + 22701368.

It is an arithmetic number, because the mean of its divisors is an integer number (830140093125).

Almost surely, 2^{34233210322440} is an apocalyptic number.

34233210322440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34233210322440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53128965960000).

34233210322440 is an abundant number, since it is smaller than the sum of its proper divisors (72024721597560).

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

34233210322440 is a wasteful number, since it uses less digits than its factorization.

34233210322440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568039 (or 1568035 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 34233210322440 its reverse (4422301233243), we get a palindrome (38655511555683).

The spelling of 34233210322440 in words is "thirty-four trillion, two hundred thirty-three billion, two hundred ten million, three hundred twenty-two thousand, four hundred forty".