32440404023040 has 288 divisors, whose sum is σ = 112681007320896. Its totient is φ = 7906266316800.

The previous prime is 32440404023033. The next prime is 32440404023047. The reversal of 32440404023040 is 4032040404423.

It is an interprime number because it is at equal distance from previous prime (32440404023033) and next prime (32440404023047).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32440404022989 and 32440404023007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32440404023047) 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, 1824852 + ... + 8258988.

It is an arithmetic number, because the mean of its divisors is an integer number (391253497642).

Almost surely, 2^{32440404023040} is an apocalyptic number.

32440404023040 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 32440404023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56340503660448).

32440404023040 is an abundant number, since it is smaller than the sum of its proper divisors (80240603297856).

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

32440404023040 is a wasteful number, since it uses less digits than its factorization.

32440404023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6434275 (or 6434261 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 32440404023040 its reverse (4032040404423), we get a palindrome (36472444427463).

The spelling of 32440404023040 in words is "thirty-two trillion, four hundred forty billion, four hundred four million, twenty-three thousand, forty".