14119946640 has 120 divisors (see below), whose sum is σ = 47839404600. Its totient is φ = 3731976192.

The previous prime is 14119946639. The next prime is 14119946641. The reversal of 14119946640 is 4664991141.

14119946640 is a `hidden beast` number, since 141 + 1 + 9 + 9 + 466 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (14119946639) and next prime (14119946641).

It can be written as a sum of positive squares in 4 ways, for example, as 369100944 + 13750845696 = 19212^2 + 117264^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (14119946641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5415 + ... + 168134.

It is an arithmetic number, because the mean of its divisors is an integer number (398661705).

Almost surely, 2^14119946640 is an apocalyptic number.

14119946640 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 14119946640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23919702300).

14119946640 is an abundant number, since it is smaller than the sum of its proper divisors (33719457960).

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

14119946640 is a wasteful number, since it uses less digits than its factorization.

14119946640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173681 (or 173672 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 14119946640 in words is "fourteen billion, one hundred nineteen million, nine hundred forty-six thousand, six hundred forty".