4040253235200 has 1344 divisors, whose sum is σ = 16600377507840. Its totient is φ = 844250480640.

The previous prime is 4040253235181. The next prime is 4040253235229. The reversal of 4040253235200 is 25323520404.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7100620516 + ... + 7100621084.

It is an arithmetic number, because the mean of its divisors is an integer number (12351471360).

Almost surely, 2^{4040253235200} is an apocalyptic number.

4040253235200 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 4040253235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8300188753920).

4040253235200 is an abundant number, since it is smaller than the sum of its proper divisors (12560124272640).

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

4040253235200 is a wasteful number, since it uses less digits than its factorization.

4040253235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 4040253235200 its reverse (25323520404), we get a palindrome (4065576755604).

The spelling of 4040253235200 in words is "four trillion, forty billion, two hundred fifty-three million, two hundred thirty-five thousand, two hundred".