3132233111040 has 320 divisors, whose sum is σ = 10948675668480. Its totient is φ = 757590589440.

The previous prime is 3132233111011. The next prime is 3132233111041. The reversal of 3132233111040 is 401113322313.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3132233111040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3132233111041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37044492 + ... + 37128948.

It is an arithmetic number, because the mean of its divisors is an integer number (34214611464).

Almost surely, 2^{3132233111040} is an apocalyptic number.

3132233111040 is a gapful number since it is divisible by the number (30) 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 3132233111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474337834240).

3132233111040 is an abundant number, since it is smaller than the sum of its proper divisors (7816442557440).

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

3132233111040 is a wasteful number, since it uses less digits than its factorization.

3132233111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84933 (or 84917 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 3132233111040 its reverse (401113322313), we get a palindrome (3533346433353).

The spelling of 3132233111040 in words is "three trillion, one hundred thirty-two billion, two hundred thirty-three million, one hundred eleven thousand, forty".