40124214400 has 96 divisors (see below), whose sum is σ = 102537494100. Its totient is φ = 15496212480.

The previous prime is 40124214379. The next prime is 40124214401. The reversal of 40124214400 is 441242104.

It can be written as a sum of positive squares in 6 ways, for example, as 19615683136 + 20508531264 = 140056^2 + 143208^2 .

It is not an unprimeable number, because it can be changed into a prime (40124214401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123387 + ... + 308986.

Almost surely, 2^40124214400 is an apocalyptic number.

40124214400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40124214400 is an abundant number, since it is smaller than the sum of its proper divisors (62413279700).

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

40124214400 is a wasteful number, since it uses less digits than its factorization.

40124214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432426 (or 432409 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 40124214400 its reverse (441242104), we get a palindrome (40565456504).

The spelling of 40124214400 in words is "forty billion, one hundred twenty-four million, two hundred fourteen thousand, four hundred".