40013200 has 60 divisors (see below), whose sum is σ = 96868800. Its totient is φ = 15882880.

The previous prime is 40013173. The next prime is 40013201. The reversal of 40013200 is 231004.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (40013201) 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, 66501 + ... + 67099.

It is an arithmetic number, because the mean of its divisors is an integer number (1614480).

Almost surely, 2^40013200 is an apocalyptic number.

40013200 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 40013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48434400).

40013200 is an abundant number, since it is smaller than the sum of its proper divisors (56855600).

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

40013200 is a wasteful number, since it uses less digits than its factorization.

40013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 40013200 is about 6325.5987858858. The cubic root of 40013200 is about 342.0328046688.

Adding to 40013200 its reverse (231004), we get a palindrome (40244204).

The spelling of 40013200 in words is "forty million, thirteen thousand, two hundred".