14641919040 has 224 divisors, whose sum is σ = 54962023680. Its totient is φ = 3231277056.

The previous prime is 14641919003. The next prime is 14641919041. The reversal of 14641919040 is 4091914641.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 14641919040.

It is not an unprimeable number, because it can be changed into a prime (14641919041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157314 + ... + 232446.

Almost surely, 2^14641919040 is an apocalyptic number.

14641919040 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 14641919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27481011840).

14641919040 is an abundant number, since it is smaller than the sum of its proper divisors (40320104640).

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

14641919040 is a wasteful number, since it uses less digits than its factorization.

14641919040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75189 (or 75179 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 14641919040 in words is "fourteen billion, six hundred forty-one million, nine hundred nineteen thousand, forty".