248391781440 has 336 divisors, whose sum is σ = 885319739136. Its totient is φ = 58933698560.

The previous prime is 248391781427. The next prime is 248391781501. The reversal of 248391781440 is 44187193842.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5436772 + ... + 5482268.

It is an arithmetic number, because the mean of its divisors is an integer number (2634880176).

Almost surely, 2^248391781440 is an apocalyptic number.

248391781440 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 248391781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442659869568).

248391781440 is an abundant number, since it is smaller than the sum of its proper divisors (636927957696).

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

248391781440 is a wasteful number, since it uses less digits than its factorization.

248391781440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45586 (or 45565 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 248391781440 in words is "two hundred forty-eight billion, three hundred ninety-one million, seven hundred eighty-one thousand, four hundred forty".