241315314331392 has 576 divisors, whose sum is σ = 842436349009920. Its totient is φ = 66677818982400.

The previous prime is 241315314331381. The next prime is 241315314331409. The reversal of 241315314331392 is 293133413513142.

241315314331392 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 15 + 314 + 3 + 313 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2239302792 + ... + 2239410552.

It is an arithmetic number, because the mean of its divisors is an integer number (1462563105920).

Almost surely, 2^{241315314331392} 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 241315314331392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421218174504960).

241315314331392 is an abundant number, since it is smaller than the sum of its proper divisors (601121034678528).

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

241315314331392 is a wasteful number, since it uses less digits than its factorization.

241315314331392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109317 (or 109297 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The spelling of 241315314331392 in words is "two hundred forty-one trillion, three hundred fifteen billion, three hundred fourteen million, three hundred thirty-one thousand, three hundred ninety-two".