14304675840 has 1152 divisors, whose sum is σ = 62114532480. Its totient is φ = 2774532096.

The previous prime is 14304675773. The next prime is 14304675841. The reversal of 14304675840 is 4857640341.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 14304675792 and 14304675801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14304675841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 332666859 + ... + 332666901.

It is an arithmetic number, because the mean of its divisors is an integer number (53918865).

Almost surely, 2^14304675840 is an apocalyptic number.

14304675840 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 14304675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31057266240).

14304675840 is an abundant number, since it is smaller than the sum of its proper divisors (47809856640).

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

14304675840 is a wasteful number, since it uses less digits than its factorization.

14304675840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 14304675840 in words is "fourteen billion, three hundred four million, six hundred seventy-five thousand, eight hundred forty".