14138061840 has 320 divisors, whose sum is σ = 56421388800. Its totient is φ = 3187040256.

The previous prime is 14138061811. The next prime is 14138061871. The reversal of 14138061840 is 4816083141.

It is a happy number.

14138061840 is a `hidden beast` number, since 1 + 4 + 1 + 38 + 0 + 618 + 4 + 0 = 666.

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 = 14138061795 and 14138061804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1097356 + ... + 1110164.

It is an arithmetic number, because the mean of its divisors is an integer number (176316840).

Almost surely, 2^14138061840 is an apocalyptic number.

14138061840 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 14138061840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28210694400).

14138061840 is an abundant number, since it is smaller than the sum of its proper divisors (42283326960).

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

14138061840 is a wasteful number, since it uses less digits than its factorization.

14138061840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12911 (or 12899 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 14138061840 in words is "fourteen billion, one hundred thirty-eight million, sixty-one thousand, eight hundred forty".