40368724200 has 576 divisors, whose sum is σ = 160583829120. Its totient is φ = 8895744000.

The previous prime is 40368724199. The next prime is 40368724213. The reversal of 40368724200 is 242786304.

40368724200 is a `hidden beast` number, since 403 + 6 + 8 + 7 + 242 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61071870 + ... + 61072530.

It is an arithmetic number, because the mean of its divisors is an integer number (278791370).

Almost surely, 2^40368724200 is an apocalyptic number.

40368724200 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 40368724200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80291914560).

40368724200 is an abundant number, since it is smaller than the sum of its proper divisors (120215104920).

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

40368724200 is a wasteful number, since it uses less digits than its factorization.

40368724200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 40368724200 in words is "forty billion, three hundred sixty-eight million, seven hundred twenty-four thousand, two hundred".