248449402040 has 256 divisors, whose sum is σ = 696176640000. Its totient is φ = 79588293120.

The previous prime is 248449402039. The next prime is 248449402057. The reversal of 248449402040 is 40204944842.

248449402040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12324209 + ... + 12344351.

It is an arithmetic number, because the mean of its divisors is an integer number (2719440000).

Almost surely, 2^248449402040 is an apocalyptic number.

248449402040 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 248449402040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348088320000).

248449402040 is an abundant number, since it is smaller than the sum of its proper divisors (447727237960).

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

248449402040 is a wasteful number, since it uses less digits than its factorization.

248449402040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20235 (or 20217 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 41.

The spelling of 248449402040 in words is "two hundred forty-eight billion, four hundred forty-nine million, four hundred two thousand, forty".