14409239040 has 560 divisors, whose sum is σ = 59252421888. Its totient is φ = 3290554368.

The previous prime is 14409238993. The next prime is 14409239071. The reversal of 14409239040 is 4093290441.

14409239040 is a `hidden beast` number, since 1 + 440 + 92 + 3 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 = 14409238986 and 14409239004.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13063129 + ... + 13064231.

Almost surely, 2^14409239040 is an apocalyptic number.

14409239040 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 14409239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29626210944).

14409239040 is an abundant number, since it is smaller than the sum of its proper divisors (44843182848).

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

14409239040 is an frugal number, since it uses more digits than its factorization.

14409239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 14409239040 in words is "fourteen billion, four hundred nine million, two hundred thirty-nine thousand, forty".