3202201242240 has 2048 divisors, whose sum is σ = 14377789440000. Its totient is φ = 596957921280.

The previous prime is 3202201242217. The next prime is 3202201242263. The reversal of 3202201242240 is 422421022023.

It is an interprime number because it is at equal distance from previous prime (3202201242217) and next prime (3202201242263).

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 3202201242240.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3484440501 + ... + 3484441419.

It is an arithmetic number, because the mean of its divisors is an integer number (7020405000).

Almost surely, 2^{3202201242240} is an apocalyptic number.

3202201242240 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 3202201242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7188894720000).

3202201242240 is an abundant number, since it is smaller than the sum of its proper divisors (11175588197760).

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

3202201242240 is a wasteful number, since it uses less digits than its factorization.

3202201242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 3202201242240 its reverse (422421022023), we get a palindrome (3624622264263).

The spelling of 3202201242240 in words is "three trillion, two hundred two billion, two hundred one million, two hundred forty-two thousand, two hundred forty".