14138007840 has 1152 divisors, whose sum is σ = 60521852160. Its totient is φ = 3065610240.

The previous prime is 14138007833. The next prime is 14138007859. The reversal of 14138007840 is 4870083141.

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 = 14138007795 and 14138007804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 328790859 + ... + 328790901.

It is an arithmetic number, because the mean of its divisors is an integer number (52536330).

Almost surely, 2^14138007840 is an apocalyptic number.

14138007840 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 14138007840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30260926080).

14138007840 is an abundant number, since it is smaller than the sum of its proper divisors (46383844320).

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

14138007840 is a wasteful number, since it uses less digits than its factorization.

14138007840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 14138007840 in words is "fourteen billion, one hundred thirty-eight million, seven thousand, eight hundred forty".