40133200 has 30 divisors (see below), whose sum is σ = 96420974. Its totient is φ = 16053120.

The previous prime is 40133167. The next prime is 40133227. The reversal of 40133200 is 233104.

It can be written as a sum of positive squares in 3 ways, for example, as 5934096 + 34199104 = 2436^2 + 5848^2 .

It is a super-2 number, since 2×40133200² = 3221347484480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49767 + ... + 50566.

Almost surely, 2^40133200 is an apocalyptic number.

40133200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40133200 is an abundant number, since it is smaller than the sum of its proper divisors (56287774).

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

40133200 is a wasteful number, since it uses less digits than its factorization.

40133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100351 (or 100340 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 40133200 is about 6335.0769529659. The cubic root of 40133200 is about 342.3743834010.

Adding to 40133200 its reverse (233104), we get a palindrome (40366304).

The spelling of 40133200 in words is "forty million, one hundred thirty-three thousand, two hundred".