248141219040 has 1920 divisors, whose sum is σ = 1124935257600. Its totient is φ = 50791587840.

The previous prime is 248141219017. The next prime is 248141219071. The reversal of 248141219040 is 40912141842.

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 = 248141218986 and 248141219004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8556593746 + ... + 8556593774.

It is an arithmetic number, because the mean of its divisors is an integer number (585903780).

Almost surely, 2^248141219040 is an apocalyptic number.

248141219040 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 248141219040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562467628800).

248141219040 is an abundant number, since it is smaller than the sum of its proper divisors (876794038560).

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

248141219040 is a wasteful number, since it uses less digits than its factorization.

248141219040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 248141219040 in words is "two hundred forty-eight billion, one hundred forty-one million, two hundred nineteen thousand, forty".