40938307200 has 1344 divisors, whose sum is σ = 182480284800. Its totient is φ = 8868372480.

The previous prime is 40938307183. The next prime is 40938307253. The reversal of 40938307200 is 270383904.

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

It is a super-3 number, since 3×40938307200³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 375580746 + ... + 375580854.

Almost surely, 2^40938307200 is an apocalyptic number.

40938307200 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 40938307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91240142400).

40938307200 is an abundant number, since it is smaller than the sum of its proper divisors (141541977600).

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

40938307200 is a wasteful number, since it uses less digits than its factorization.

40938307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 40938307200 in words is "forty billion, nine hundred thirty-eight million, three hundred seven thousand, two hundred".