40721200 has 120 divisors (see below), whose sum is σ = 108493056. Its totient is φ = 14592000.

The previous prime is 40721189. The next prime is 40721203. The reversal of 40721200 is 212704.

40721200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40721200² = 3316432258880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (40721203) by changing a digit.

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, 213105 + ... + 213295.

Almost surely, 2^40721200 is an apocalyptic number.

40721200 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 40721200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54246528).

40721200 is an abundant number, since it is smaller than the sum of its proper divisors (67771856).

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

40721200 is a wasteful number, since it uses less digits than its factorization.

40721200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 40721200 is about 6381.3164785959. The cubic root of 40721200 is about 344.0383497898.

Adding to 40721200 its reverse (212704), we get a palindrome (40933904).

The spelling of 40721200 in words is "forty million, seven hundred twenty-one thousand, two hundred".