233795940000 has 480 divisors, whose sum is σ = 897897280896. Its totient is φ = 52131840000.

The previous prime is 233795939999. The next prime is 233795940013. The reversal of 233795940000 is 49597332.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17213212 + ... + 17226788.

Almost surely, 2^233795940000 is an apocalyptic number.

233795940000 is a gapful number since it is divisible by the number (20) 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 233795940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448948640448).

233795940000 is an abundant number, since it is smaller than the sum of its proper divisors (664101340896).

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

233795940000 is a wasteful number, since it uses less digits than its factorization.

233795940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13658 (or 13635 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The spelling of 233795940000 in words is "two hundred thirty-three billion, seven hundred ninety-five million, nine hundred forty thousand".