40304513200 has 240 divisors, whose sum is σ = 116109711360. Its totient is φ = 13152384000.

The previous prime is 40304513177. The next prime is 40304513213. The reversal of 40304513200 is 231540304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5761705 + ... + 5768695.

It is an arithmetic number, because the mean of its divisors is an integer number (483790464).

Almost surely, 2^40304513200 is an apocalyptic number.

40304513200 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 40304513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58054855680).

40304513200 is an abundant number, since it is smaller than the sum of its proper divisors (75805198160).

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

40304513200 is a wasteful number, since it uses less digits than its factorization.

40304513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7116 (or 7105 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The spelling of 40304513200 in words is "forty billion, three hundred four million, five hundred thirteen thousand, two hundred".