233424042040000 has 840 divisors, whose sum is σ = 685846458792528. Its totient is φ = 78547553280000.

The previous prime is 233424042039973. The next prime is 233424042040003. The reversal of 233424042040000 is 40240424332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (233424042040003) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 62529878134 + ... + 62529881866.

Almost surely, 2^{233424042040000} is an apocalyptic number.

233424042040000 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 233424042040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342923229396264).

233424042040000 is an abundant number, since it is smaller than the sum of its proper divisors (452422416752528).

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

233424042040000 is an equidigital number, since it uses as much as digits as its factorization.

233424042040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4363 (or 4331 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 233424042040000 its reverse (40240424332), we get a palindrome (233464282464332).

The spelling of 233424042040000 in words is "two hundred thirty-three trillion, four hundred twenty-four billion, forty-two million, forty thousand".