40472170200 has 576 divisors, whose sum is σ = 172271473920. Its totient is φ = 8270208000.

The previous prime is 40472170177. The next prime is 40472170259. The reversal of 40472170200 is 207127404.

It is a happy number.

40472170200 is a `hidden beast` number, since 4 + 0 + 472 + 170 + 20 + 0 = 666.

It is a congruent number.

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, 8452207 + ... + 8456993.

It is an arithmetic number, because the mean of its divisors is an integer number (299082420).

Almost surely, 2^40472170200 is an apocalyptic number.

40472170200 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 40472170200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86135736960).

40472170200 is an abundant number, since it is smaller than the sum of its proper divisors (131799303720).

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

40472170200 is a wasteful number, since it uses less digits than its factorization.

40472170200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4888 (or 4876 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

Adding to 40472170200 its reverse (207127404), we get a palindrome (40679297604).

The spelling of 40472170200 in words is "forty billion, four hundred seventy-two million, one hundred seventy thousand, two hundred".