2433321210040 has 256 divisors, whose sum is σ = 6441517716480. Its totient is φ = 810100776960.

The previous prime is 2433321209989. The next prime is 2433321210043. The reversal of 2433321210040 is 400121233342.

It is a super-2 number, since 2×2433321210040² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2433321209987 and 2433321210014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2433321210043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 561058752 + ... + 561063088.

It is an arithmetic number, because the mean of its divisors is an integer number (25162178580).

Almost surely, 2^{2433321210040} is an apocalyptic number.

2433321210040 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 2433321210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220758858240).

2433321210040 is an abundant number, since it is smaller than the sum of its proper divisors (4008196506440).

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

2433321210040 is a wasteful number, since it uses less digits than its factorization.

2433321210040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4830 (or 4826 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 2433321210040 its reverse (400121233342), we get a palindrome (2833442443382).

The spelling of 2433321210040 in words is "two trillion, four hundred thirty-three billion, three hundred twenty-one million, two hundred ten thousand, forty".