14384172240 has 160 divisors (see below), whose sum is σ = 50143040640. Its totient is φ = 3789517824.

The previous prime is 14384172227. The next prime is 14384172251. The reversal of 14384172240 is 4227148341.

14384172240 is a `hidden beast` number, since 14 + 3 + 8 + 417 + 224 + 0 = 666.

It is a super-2 number, since 2×14384172240² (a number of 21 digits) contains 22 as substring.

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 = 14384172195 and 14384172204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139164 + ... + 219396.

It is an arithmetic number, because the mean of its divisors is an integer number (313394004).

Almost surely, 2^14384172240 is an apocalyptic number.

14384172240 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 14384172240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25071520320).

14384172240 is an abundant number, since it is smaller than the sum of its proper divisors (35758868400).

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

14384172240 is a wasteful number, since it uses less digits than its factorization.

14384172240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80338 (or 80326 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

It can be divided in two parts, 14384 and 172240, that added together give a square (186624 = 432²).

The spelling of 14384172240 in words is "fourteen billion, three hundred eighty-four million, one hundred seventy-two thousand, two hundred forty".