40132414400 has 168 divisors, whose sum is σ = 106622904864. Its totient is φ = 14779699200.

The previous prime is 40132414397. The next prime is 40132414417. The reversal of 40132414400 is 441423104.

It is a happy number.

It is a super-2 number, since 2×40132414400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8754509 + ... + 8759091.

It is an arithmetic number, because the mean of its divisors is an integer number (634660148).

Almost surely, 2^40132414400 is an apocalyptic number.

40132414400 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 40132414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53311452432).

40132414400 is an abundant number, since it is smaller than the sum of its proper divisors (66490490464).

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

40132414400 is a wasteful number, since it uses less digits than its factorization.

40132414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5039 (or 5024 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 40132414400 its reverse (441423104), we get a palindrome (40573837504).

The spelling of 40132414400 in words is "forty billion, one hundred thirty-two million, four hundred fourteen thousand, four hundred".