40414214400 has 432 divisors, whose sum is σ = 157700323200. Its totient is φ = 8918138880.

The previous prime is 40414214389. The next prime is 40414214413. The reversal of 40414214400 is 441241404.

It is a happy number.

40414214400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3892416 + ... + 3902784.

Almost surely, 2^40414214400 is an apocalyptic number.

40414214400 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 40414214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78850161600).

40414214400 is an abundant number, since it is smaller than the sum of its proper divisors (117286108800).

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

40414214400 is a wasteful number, since it uses less digits than its factorization.

40414214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10434 (or 10415 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 40414214400 its reverse (441241404), we get a palindrome (40855455804).

The spelling of 40414214400 in words is "forty billion, four hundred fourteen million, two hundred fourteen thousand, four hundred".