40432013100 has 216 divisors, whose sum is σ = 128378970720. Its totient is φ = 10642544640.

The previous prime is 40432013081. The next prime is 40432013131. The reversal of 40432013100 is 131023404.

It is a super-2 number, since 2×40432013100² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33059089 + ... + 33060311.

Almost surely, 2^40432013100 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 40432013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64189485360).

40432013100 is an abundant number, since it is smaller than the sum of its proper divisors (87946957620).

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

40432013100 is a wasteful number, since it uses less digits than its factorization.

40432013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 40432013100 its reverse (131023404), we get a palindrome (40563036504).

The spelling of 40432013100 in words is "forty billion, four hundred thirty-two million, thirteen thousand, one hundred".