40471200 has 432 divisors, whose sum is σ = 180363456. Its totient is φ = 8294400.

The previous prime is 40471199. The next prime is 40471219. The reversal of 40471200 is 217404.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 554364 + ... + 554436.

It is an arithmetic number, because the mean of its divisors is an integer number (417508).

Almost surely, 2^40471200 is an apocalyptic number.

40471200 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 40471200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90181728).

40471200 is an abundant number, since it is smaller than the sum of its proper divisors (139892256).

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

40471200 is a wasteful number, since it uses less digits than its factorization.

40471200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 40471200 is about 6361.6978865708. The cubic root of 40471200 is about 343.3328515614.

Adding to 40471200 its reverse (217404), we get a palindrome (40688604).

The spelling of 40471200 in words is "forty million, four hundred seventy-one thousand, two hundred".