40505414400 has 324 divisors, whose sum is σ = 157983560280. Its totient is φ = 9819340800.

The previous prime is 40505414381. The next prime is 40505414449. The reversal of 40505414400 is 441450504.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 601636 + ... + 665564.

Almost surely, 2^40505414400 is an apocalyptic number.

40505414400 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 40505414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78991780140).

40505414400 is an abundant number, since it is smaller than the sum of its proper divisors (117478145880).

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

40505414400 is a wasteful number, since it uses less digits than its factorization.

40505414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63972 (or 63950 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 40505414400 its reverse (441450504), we get a palindrome (40946864904).

The spelling of 40505414400 in words is "forty billion, five hundred five million, four hundred fourteen thousand, four hundred".