233042213040 has 320 divisors, whose sum is σ = 891812253696. Its totient is φ = 49021894656.

The previous prime is 233042212981. The next prime is 233042213071. The reversal of 233042213040 is 40312240332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 233042213040.

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, 7344249 + ... + 7375911.

Almost surely, 2^233042213040 is an apocalyptic number.

233042213040 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 233042213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445906126848).

233042213040 is an abundant number, since it is smaller than the sum of its proper divisors (658770040656).

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

233042213040 is a wasteful number, since it uses less digits than its factorization.

233042213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32036 (or 32030 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 233042213040 its reverse (40312240332), we get a palindrome (273354453372).

The spelling of 233042213040 in words is "two hundred thirty-three billion, forty-two million, two hundred thirteen thousand, forty".