241400784325248 has 768 divisors, whose sum is σ = 764387153187840. Its totient is φ = 75700427489280.

The previous prime is 241400784325229. The next prime is 241400784325271. The reversal of 241400784325248 is 842523487004142.

241400784325248 is a `hidden beast` number, since 2 + 4 + 1 + 4 + 0 + 0 + 7 + 84 + 32 + 524 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 241400784325194 and 241400784325203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55405273086 + ... + 55405277442.

It is an arithmetic number, because the mean of its divisors is an integer number (995295772380).

Almost surely, 2^{241400784325248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241400784325248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382193576593920).

241400784325248 is an abundant number, since it is smaller than the sum of its proper divisors (522986368862592).

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

241400784325248 is a wasteful number, since it uses less digits than its factorization.

241400784325248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6007 (or 5983 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 241400784325248 in words is "two hundred forty-one trillion, four hundred billion, seven hundred eighty-four million, three hundred twenty-five thousand, two hundred forty-eight".