14825820240 has 1080 divisors, whose sum is σ = 66870969984. Its totient is φ = 2927232000.

The previous prime is 14825820223. The next prime is 14825820253. The reversal of 14825820240 is 4202852841.

14825820240 is a `hidden beast` number, since 148 + 258 + 20 + 240 = 666.

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 = 14825820195 and 14825820204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 98184165 + ... + 98184315.

Almost surely, 2^14825820240 is an apocalyptic number.

14825820240 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 14825820240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33435484992).

14825820240 is an abundant number, since it is smaller than the sum of its proper divisors (52045149744).

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

14825820240 is a wasteful number, since it uses less digits than its factorization.

14825820240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 14825820240 in words is "fourteen billion, eight hundred twenty-five million, eight hundred twenty thousand, two hundred forty".