40053200 has 60 divisors (see below), whose sum is σ = 104987328. Its totient is φ = 14563200.

The previous prime is 40053199. The next prime is 40053217. The reversal of 40053200 is 235004.

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 11 ways as a sum of consecutive naturals, for example, 152 + ... + 8951.

Almost surely, 2^40053200 is an apocalyptic number.

40053200 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 40053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52493664).

40053200 is an abundant number, since it is smaller than the sum of its proper divisors (64934128).

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

40053200 is a wasteful number, since it uses less digits than its factorization.

40053200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9132 (or 9121 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 40053200 is about 6328.7597521157. The cubic root of 40053200 is about 342.1467400350.

Adding to 40053200 its reverse (235004), we get a palindrome (40288204).

The spelling of 40053200 in words is "forty million, fifty-three thousand, two hundred".