233142041340 has 192 divisors, whose sum is σ = 781541281920. Its totient is φ = 57358264320.

The previous prime is 233142041323. The next prime is 233142041351. The reversal of 233142041340 is 43140241332.

233142041340 is a `hidden beast` number, since 2 + 3 + 314 + 2 + 0 + 4 + 1 + 340 = 666.

233142041340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×233142041340² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 14993970 + ... + 15009510.

It is an arithmetic number, because the mean of its divisors is an integer number (4070527510).

Almost surely, 2^233142041340 is an apocalyptic number.

233142041340 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 233142041340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390770640960).

233142041340 is an abundant number, since it is smaller than the sum of its proper divisors (548399240580).

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

233142041340 is a wasteful number, since it uses less digits than its factorization.

233142041340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17709 (or 17701 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 233142041340 its reverse (43140241332), we get a palindrome (276282282672).

The spelling of 233142041340 in words is "two hundred thirty-three billion, one hundred forty-two million, forty-one thousand, three hundred forty".