4032231102240 has 384 divisors, whose sum is σ = 14312618901504. Its totient is φ = 945354240000.

The previous prime is 4032231102187. The next prime is 4032231102241. The reversal of 4032231102240 is 422011322304.

It is a happy number.

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 4032231102240.

It is not an unprimeable number, because it can be changed into a prime (4032231102241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 277102965 + ... + 277117515.

It is an arithmetic number, because the mean of its divisors is an integer number (37272445056).

Almost surely, 2^{4032231102240} is an apocalyptic number.

4032231102240 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 4032231102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7156309450752).

4032231102240 is an abundant number, since it is smaller than the sum of its proper divisors (10280387799264).

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

4032231102240 is a wasteful number, since it uses less digits than its factorization.

4032231102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16304 (or 16296 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4032231102240 its reverse (422011322304), we get a palindrome (4454242424544).

The spelling of 4032231102240 in words is "four trillion, thirty-two billion, two hundred thirty-one million, one hundred two thousand, two hundred forty".