4006233600000 has 1404 divisors, whose sum is σ = 14968990313928. Its totient is φ = 952565760000.

The previous prime is 4006233599999. The next prime is 4006233600007. The reversal of 4006233600000 is 63326004.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006233600007) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 210854399991 + ... + 210854400009.

Almost surely, 2^{4006233600000} is an apocalyptic number.

4006233600000 is a gapful number since it is divisible by the number (40) 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 4006233600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7484495156964).

4006233600000 is an abundant number, since it is smaller than the sum of its proper divisors (10962756713928).

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

4006233600000 is an frugal number, since it uses more digits than its factorization.

4006233600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 4006233600000 its reverse (63326004), we get a palindrome (4006296926004).

The spelling of 4006233600000 in words is "four trillion, six billion, two hundred thirty-three million, six hundred thousand".