233420015140000 has 240 divisors, whose sum is σ = 618751610104320. Its totient is φ = 86139803520000.

The previous prime is 233420015139991. The next prime is 233420015140001. The reversal of 233420015140000 is 41510024332.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (233420015140001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 488301105 + ... + 488778895.

It is an arithmetic number, because the mean of its divisors is an integer number (2578131708768).

Almost surely, 2^{233420015140000} is an apocalyptic number.

233420015140000 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 233420015140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309375805052160).

233420015140000 is an abundant number, since it is smaller than the sum of its proper divisors (385331594964320).

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

233420015140000 is a wasteful number, since it uses less digits than its factorization.

233420015140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479713 (or 479690 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 233420015140000 its reverse (41510024332), we get a palindrome (233461525164332).

The spelling of 233420015140000 in words is "two hundred thirty-three trillion, four hundred twenty billion, fifteen million, one hundred forty thousand".