33034324114020 has 192 divisors, whose sum is σ = 99694275932160. Its totient is φ = 8148085747200.

The previous prime is 33034324113979. The next prime is 33034324114079. The reversal of 33034324114020 is 2041142343033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6355590 + ... + 10318050.

It is an arithmetic number, because the mean of its divisors is an integer number (519241020480).

Almost surely, 2^{33034324114020} is an apocalyptic number.

33034324114020 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 33034324114020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49847137966080).

33034324114020 is an abundant number, since it is smaller than the sum of its proper divisors (66659951818140).

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

33034324114020 is a wasteful number, since it uses less digits than its factorization.

33034324114020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3962666 (or 3962664 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 33034324114020 its reverse (2041142343033), we get a palindrome (35075466457053).

The spelling of 33034324114020 in words is "thirty-three trillion, thirty-four billion, three hundred twenty-four million, one hundred fourteen thousand, twenty".