1840732938240 has 1792 divisors, whose sum is σ = 7609680691200. Its totient is φ = 370286788608.

The previous prime is 1840732938133. The next prime is 1840732938257. The reversal of 1840732938240 is 428392370481.

It is a tau number, because it is divible by the number of its divisors (1792).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22177505239 + ... + 22177505321.

It is an arithmetic number, because the mean of its divisors is an integer number (4246473600).

Almost surely, 2^{1840732938240} is an apocalyptic number.

1840732938240 is a gapful number since it is divisible by the number (10) 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 1840732938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3804840345600).

1840732938240 is an abundant number, since it is smaller than the sum of its proper divisors (5768947752960).

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

1840732938240 is a wasteful number, since it uses less digits than its factorization.

1840732938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 1840732938240 in words is "one trillion, eight hundred forty billion, seven hundred thirty-two million, nine hundred thirty-eight thousand, two hundred forty".