40424114314400 has 36 divisors (see below), whose sum is σ = 98685369071982. Its totient is φ = 16169645725440.

The previous prime is 40424114314387. The next prime is 40424114314427. The reversal of 40424114314400 is 441341142404.

40424114314400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 34910277714064 + 5513836600336 = 5908492^2 + 2348156^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25265070647 + ... + 25265072246.

Almost surely, 2^{40424114314400} is an apocalyptic number.

40424114314400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40424114314400 is an abundant number, since it is smaller than the sum of its proper divisors (58261254757582).

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

40424114314400 is a wasteful number, since it uses less digits than its factorization.

40424114314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50530142913 (or 50530142900 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 40424114314400 its reverse (441341142404), we get a palindrome (40865455456804).

The spelling of 40424114314400 in words is "forty trillion, four hundred twenty-four billion, one hundred fourteen million, three hundred fourteen thousand, four hundred".