40013100 has 108 divisors (see below), whose sum is σ = 130939536. Its totient is φ = 10200960.

The previous prime is 40013093. The next prime is 40013111. The reversal of 40013100 is 131004.

It is a super-2 number, since 2×40013100² = 3202096343220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19734 + ... + 21666.

Almost surely, 2^40013100 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 40013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65469768).

40013100 is an abundant number, since it is smaller than the sum of its proper divisors (90926436).

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

40013100 is a wasteful number, since it uses less digits than its factorization.

40013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 40013100 is about 6325.5908814908. The cubic root of 40013100 is about 342.0325197352.

Adding to 40013100 its reverse (131004), we get a palindrome (40144104).

The spelling of 40013100 in words is "forty million, thirteen thousand, one hundred".