40021200 has 90 divisors (see below), whose sum is σ = 138897174. Its totient is φ = 10671360.

The previous prime is 40021199. The next prime is 40021211. The reversal of 40021200 is 212004.

It can be written as a sum of positive squares in 3 ways, for example, as 28224 + 39992976 = 168^2 + 6324^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1959 + ... + 9158.

Almost surely, 2^40021200 is an apocalyptic number.

40021200 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 40021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69448587).

40021200 is an abundant number, since it is smaller than the sum of its proper divisors (98875974).

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

40021200 is a wasteful number, since it uses less digits than its factorization.

40021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11141 (or 11127 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 40021200 is about 6326.2311054845. The cubic root of 40021200 is about 342.0555978145.

Adding to 40021200 its reverse (212004), we get a palindrome (40233204).

The spelling of 40021200 in words is "forty million, twenty-one thousand, two hundred".