40099200 has 96 divisors (see below), whose sum is σ = 132108360. Its totient is φ = 10690560.

The previous prime is 40099193. The next prime is 40099201. The reversal of 40099200 is 299004.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40099201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7512 + ... + 11688.

Almost surely, 2^40099200 is an apocalyptic number.

40099200 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 40099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66054180).

40099200 is an abundant number, since it is smaller than the sum of its proper divisors (92009160).

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

40099200 is a wasteful number, since it uses less digits than its factorization.

40099200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4204 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 40099200 is about 6332.3929126358. The cubic root of 40099200 is about 342.2776719681.

The spelling of 40099200 in words is "forty million, ninety-nine thousand, two hundred".