248382301440 has 1296 divisors, whose sum is σ = 1022382865728. Its totient is φ = 51204980736.

The previous prime is 248382301417. The next prime is 248382301441. The reversal of 248382301440 is 44103283842.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248382301441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2321329867 + ... + 2321329973.

It is an arithmetic number, because the mean of its divisors is an integer number (788875668).

Almost surely, 2^248382301440 is an apocalyptic number.

248382301440 is a gapful number since it is divisible by the number (20) 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 248382301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511191432864).

248382301440 is an abundant number, since it is smaller than the sum of its proper divisors (774000564288).

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

248382301440 is a wasteful number, since it uses less digits than its factorization.

248382301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 248382301440 in words is "two hundred forty-eight billion, three hundred eighty-two million, three hundred one thousand, four hundred forty".