14040400240032 has 48 divisors (see below), whose sum is σ = 36948887129952. Its totient is φ = 4668344651520.

The previous prime is 14040400240021. The next prime is 14040400240051. The reversal of 14040400240032 is 23004200404041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×14040400240032² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 14040400239984 and 14040400240011.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 184161094 + ... + 184237317.

It is an arithmetic number, because the mean of its divisors is an integer number (769768481874).

Almost surely, 2^{14040400240032} is an apocalyptic number.

14040400240032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14040400240032 is an abundant number, since it is smaller than the sum of its proper divisors (22908486889920).

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

14040400240032 is a wasteful number, since it uses less digits than its factorization.

14040400240032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368398821 (or 368398813 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 14040400240032 its reverse (23004200404041), we get a palindrome (37044600644073).

The spelling of 14040400240032 in words is "fourteen trillion, forty billion, four hundred million, two hundred forty thousand, thirty-two".