14304263040 has 896 divisors, whose sum is σ = 56510023680. Its totient is φ = 3448811520.

The previous prime is 14304263033. The next prime is 14304263053. The reversal of 14304263040 is 4036240341.

It is a super-2 number, since 2×14304263040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14304262995 and 14304263013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 332657259 + ... + 332657301.

Almost surely, 2^14304263040 is an apocalyptic number.

14304263040 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 14304263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28255011840).

14304263040 is an abundant number, since it is smaller than the sum of its proper divisors (42205760640).

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

14304263040 is an equidigital number, since it uses as much as digits as its factorization.

14304263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 14304263040 in words is "fourteen billion, three hundred four million, two hundred sixty-three thousand, forty".