233042110400000 has 480 divisors, whose sum is σ = 635963510730240. Its totient is φ = 84601728000000.

The previous prime is 233042110399961. The next prime is 233042110400017. The reversal of 233042110400000 is 4011240332.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10894389305 + ... + 10894410695.

It is an arithmetic number, because the mean of its divisors is an integer number (1324923980688).

Almost surely, 2^{233042110400000} is an apocalyptic number.

233042110400000 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 233042110400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317981755365120).

233042110400000 is an abundant number, since it is smaller than the sum of its proper divisors (402921400330240).

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

233042110400000 is an frugal number, since it uses more digits than its factorization.

233042110400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22064 (or 22028 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 233042110400000 its reverse (4011240332), we get a palindrome (233046121640332).

The spelling of 233042110400000 in words is "two hundred thirty-three trillion, forty-two billion, one hundred ten million, four hundred thousand".