40385027200 has 384 divisors, whose sum is σ = 117656755200. Its totient is φ = 13412044800.

The previous prime is 40385027149. The next prime is 40385027209. The reversal of 40385027200 is 272058304.

It is not an unprimeable number, because it can be changed into a prime (40385027209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106556611 + ... + 106556989.

It is an arithmetic number, because the mean of its divisors is an integer number (306397800).

Almost surely, 2^40385027200 is an apocalyptic number.

40385027200 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 40385027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58828377600).

40385027200 is an abundant number, since it is smaller than the sum of its proper divisors (77271728000).

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

40385027200 is a wasteful number, since it uses less digits than its factorization.

40385027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The spelling of 40385027200 in words is "forty billion, three hundred eighty-five million, twenty-seven thousand, two hundred".