40281307200 has 252 divisors, whose sum is σ = 150705525360. Its totient is φ = 10176261120.

The previous prime is 40281307141. The next prime is 40281307201. The reversal of 40281307200 is 270318204.

It is not an unprimeable number, because it can be changed into a prime (40281307201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 199987 + ... + 347213.

Almost surely, 2^40281307200 is an apocalyptic number.

40281307200 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 40281307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75352762680).

40281307200 is an abundant number, since it is smaller than the sum of its proper divisors (110424218160).

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

40281307200 is a wasteful number, since it uses less digits than its factorization.

40281307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147274 (or 147256 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 40281307200 in words is "forty billion, two hundred eighty-one million, three hundred seven thousand, two hundred".