40320412323200 has 768 divisors, whose sum is σ = 105420452659200. Its totient is φ = 15223541760000.

The previous prime is 40320412323193. The next prime is 40320412323203. The reversal of 40320412323200 is 232321402304.

It is a self number, because there is not a number n which added to its sum of digits gives 40320412323200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40320412323203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 211101635105 + ... + 211101635295.

It is an arithmetic number, because the mean of its divisors is an integer number (137266214400).

Almost surely, 2^{40320412323200} is an apocalyptic number.

40320412323200 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 40320412323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52710226329600).

40320412323200 is an abundant number, since it is smaller than the sum of its proper divisors (65100040336000).

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

40320412323200 is a wasteful number, since it uses less digits than its factorization.

40320412323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 40320412323200 its reverse (232321402304), we get a palindrome (40552733725504).

The spelling of 40320412323200 in words is "forty trillion, three hundred twenty billion, four hundred twelve million, three hundred twenty-three thousand, two hundred".