33234300023040 has 432 divisors, whose sum is σ = 115916026629312. Its totient is φ = 8791128293376.

The previous prime is 33234300023033. The next prime is 33234300023047. The reversal of 33234300023040 is 4032000343233.

33234300023040 is a `hidden beast` number, since 3 + 323 + 4 + 30 + 0 + 0 + 2 + 304 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (33234300023033) and next prime (33234300023047).

It is a super-2 number, since 2×33234300023040² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33234300022995 and 33234300023013.

It is not an unprimeable number, because it can be changed into a prime (33234300023047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 882862459 + ... + 882900101.

It is an arithmetic number, because the mean of its divisors is an integer number (268324135716).

Almost surely, 2^{33234300023040} is an apocalyptic number.

33234300023040 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 33234300023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57958013314656).

33234300023040 is an abundant number, since it is smaller than the sum of its proper divisors (82681726606272).

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

33234300023040 is a wasteful number, since it uses less digits than its factorization.

33234300023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38286 (or 38269 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 33234300023040 its reverse (4032000343233), we get a palindrome (37266300366273).

The spelling of 33234300023040 in words is "thirty-three trillion, two hundred thirty-four billion, three hundred million, twenty-three thousand, forty".