14001424000040 has 128 divisors (see below), whose sum is σ = 32138651936160. Its totient is φ = 5488817209344.

The previous prime is 14001424000009. The next prime is 14001424000163. The reversal of 14001424000040 is 4000042410041.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 622669340836 + 13378754659204 = 789094^2 + 3657698^2 .

It is a super-2 number, since 2×14001424000040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14001423999976 and 14001424000021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505507472 + ... + 505535168.

Almost surely, 2^{14001424000040} is an apocalyptic number.

14001424000040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14001424000040 is an abundant number, since it is smaller than the sum of its proper divisors (18137227936120).

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

14001424000040 is a wasteful number, since it uses less digits than its factorization.

14001424000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29071 (or 29067 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 14001424000040 its reverse (4000042410041), we get a palindrome (18001466410081).

The spelling of 14001424000040 in words is "fourteen trillion, one billion, four hundred twenty-four million, forty", and thus it is an aban number.