40301300 has 72 divisors (see below), whose sum is σ = 97519800. Its totient is φ = 14353920.

The previous prime is 40301293. The next prime is 40301309. The reversal of 40301300 is 310304.

It can be written as a sum of positive squares in 12 ways, for example, as 18079504 + 22221796 = 4252^2 + 4714^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40301309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37166 + ... + 38234.

Almost surely, 2^40301300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48759900).

40301300 is an abundant number, since it is smaller than the sum of its proper divisors (57218500).

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

40301300 is a wasteful number, since it uses less digits than its factorization.

40301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 40301300 is about 6348.3304891916. The cubic root of 40301300 is about 342.8517351991.

Adding to 40301300 its reverse (310304), we get a palindrome (40611604).

The spelling of 40301300 in words is "forty million, three hundred one thousand, three hundred".