33023040000000 has 832 divisors, whose sum is σ = 112881929771520. Its totient is φ = 8581120000000.

The previous prime is 33023039999993. The next prime is 33023040000023. The reversal of 33023040000000 is 4032033.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 39359999581 + ... + 39360000419.

It is an arithmetic number, because the mean of its divisors is an integer number (135675396360).

Almost surely, 2^{33023040000000} is an apocalyptic number.

33023040000000 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 33023040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56440964885760).

33023040000000 is an abundant number, since it is smaller than the sum of its proper divisors (79858889771520).

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

33023040000000 is an frugal number, since it uses more digits than its factorization.

33023040000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 33023040000000 its reverse (4032033), we get a palindrome (33023044032033).

The spelling of 33023040000000 in words is "thirty-three trillion, twenty-three billion, forty million", and thus it is an aban number and an uban number.