40200364200 has 96 divisors (see below), whose sum is σ = 124699161600. Its totient is φ = 10713384960.

The previous prime is 40200364199. The next prime is 40200364241. The reversal of 40200364200 is 246300204.

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 23 ways as a sum of consecutive naturals, for example, 977656 + ... + 1017944.

It is an arithmetic number, because the mean of its divisors is an integer number (1298949600).

Almost surely, 2^40200364200 is an apocalyptic number.

40200364200 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 40200364200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62349580800).

40200364200 is an abundant number, since it is smaller than the sum of its proper divisors (84498797400).

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

40200364200 is a wasteful number, since it uses less digits than its factorization.

40200364200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41971 (or 41962 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 40200364200 its reverse (246300204), we get a palindrome (40446664404).

The spelling of 40200364200 in words is "forty billion, two hundred million, three hundred sixty-four thousand, two hundred".