40795200 has 126 divisors (see below), whose sum is σ = 145046954. Its totient is φ = 10874880.

The previous prime is 40795171. The next prime is 40795207. The reversal of 40795200 is 259704.

It can be written as a sum of positive squares in 3 ways, for example, as 1557504 + 39237696 = 1248^2 + 6264^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40795207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12984 + ... + 15816.

Almost surely, 2^40795200 is an apocalyptic number.

40795200 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 40795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72523477).

40795200 is an abundant number, since it is smaller than the sum of its proper divisors (104251754).

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

40795200 is a wasteful number, since it uses less digits than its factorization.

40795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 40795200 is about 6387.1120234422. The cubic root of 40795200 is about 344.2466232188.

The spelling of 40795200 in words is "forty million, seven hundred ninety-five thousand, two hundred".