40414400 has 168 divisors, whose sum is σ = 112440720. Its totient is φ = 14192640.

The previous prime is 40414379. The next prime is 40414403. The reversal of 40414400 is 441404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40414403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 603167 + ... + 603233.

It is an arithmetic number, because the mean of its divisors is an integer number (669290).

Almost surely, 2^40414400 is an apocalyptic number.

40414400 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 40414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56220360).

40414400 is an abundant number, since it is smaller than the sum of its proper divisors (72026320).

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

40414400 is a wasteful number, since it uses less digits than its factorization.

40414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 40414400 is about 6357.2321021023. The cubic root of 40414400 is about 343.1721575680.

Adding to 40414400 its reverse (441404), we get a palindrome (40855804).

The spelling of 40414400 in words is "forty million, four hundred fourteen thousand, four hundred".