40420204200 has 192 divisors, whose sum is σ = 139357152000. Its totient is φ = 10768504320.

The previous prime is 40420204151. The next prime is 40420204229. The reversal of 40420204200 is 240202404.

40420204200 is a `hidden beast` number, since 40 + 4 + 202 + 0 + 420 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6957697 + ... + 6963503.

It is an arithmetic number, because the mean of its divisors is an integer number (725818500).

Almost surely, 2^40420204200 is an apocalyptic number.

40420204200 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 40420204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69678576000).

40420204200 is an abundant number, since it is smaller than the sum of its proper divisors (98936947800).

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

40420204200 is a wasteful number, since it uses less digits than its factorization.

40420204200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7121 (or 7106 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 40420204200 its reverse (240202404), we get a palindrome (40660406604).

The spelling of 40420204200 in words is "forty billion, four hundred twenty million, two hundred four thousand, two hundred".