40432105200 has 240 divisors, whose sum is σ = 134713441280. Its totient is φ = 10356802560.

The previous prime is 40432105199. The next prime is 40432105201. The reversal of 40432105200 is 250123404.

It is an interprime number because it is at equal distance from previous prime (40432105199) and next prime (40432105201).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40432105201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3501837 + ... + 3513363.

Almost surely, 2^40432105200 is an apocalyptic number.

40432105200 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 40432105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67356720640).

40432105200 is an abundant number, since it is smaller than the sum of its proper divisors (94281336080).

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

40432105200 is a wasteful number, since it uses less digits than its factorization.

40432105200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11664 (or 11653 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 40432105200 its reverse (250123404), we get a palindrome (40682228604).

The spelling of 40432105200 in words is "forty billion, four hundred thirty-two million, one hundred five thousand, two hundred".