14826782040 has 128 divisors (see below), whose sum is σ = 50862712320. Its totient is φ = 3387110400.

The previous prime is 14826782027. The next prime is 14826782051. The reversal of 14826782040 is 4028762841.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 = 14826781983 and 14826782001.

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, 2021580 + ... + 2028900.

It is an arithmetic number, because the mean of its divisors is an integer number (397364940).

Almost surely, 2^14826782040 is an apocalyptic number.

14826782040 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 14826782040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25431356160).

14826782040 is an abundant number, since it is smaller than the sum of its proper divisors (36035930280).

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

14826782040 is a wasteful number, since it uses less digits than its factorization.

14826782040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9753 (or 9749 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 14826782040 in words is "fourteen billion, eight hundred twenty-six million, seven hundred eighty-two thousand, forty".