14182439040 has 1920 divisors, whose sum is σ = 70912195200. Its totient is φ = 2627665920.

The previous prime is 14182439039. The next prime is 14182439053. The reversal of 14182439040 is 4093428141.

It is a happy number.

14182439040 is a `hidden beast` number, since 1 + 4 + 182 + 439 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a super-2 number, since 2×14182439040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14182438986 and 14182439004.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 746444151 + ... + 746444169.

It is an arithmetic number, because the mean of its divisors is an integer number (36933435).

Almost surely, 2^14182439040 is an apocalyptic number.

14182439040 is a gapful number since it is divisible by the number (10) 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 14182439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35456097600).

14182439040 is an abundant number, since it is smaller than the sum of its proper divisors (56729756160).

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

14182439040 is a wasteful number, since it uses less digits than its factorization.

14182439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 14182439040 in words is "fourteen billion, one hundred eighty-two million, four hundred thirty-nine thousand, forty".