40057200 has 120 divisors (see below), whose sum is σ = 142612400. Its totient is φ = 10679040.

The previous prime is 40057189. The next prime is 40057229. The reversal of 40057200 is 275004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8946 + ... + 12654.

Almost surely, 2^40057200 is an apocalyptic number.

40057200 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 40057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71306200).

40057200 is an abundant number, since it is smaller than the sum of its proper divisors (102555200).

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

40057200 is a wasteful number, since it uses less digits than its factorization.

40057200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 40057200 is about 6329.0757619103. The cubic root of 40057200 is about 342.1581293988.

It can be divided in two parts, 400 and 57200, that added together give a square (57600 = 240²).

The spelling of 40057200 in words is "forty million, fifty-seven thousand, two hundred".