241432789562496 has 768 divisors, whose sum is σ = 824869933056000. Its totient is φ = 66328200069120.

The previous prime is 241432789562399. The next prime is 241432789562533. The reversal of 241432789562496 is 694265987234142.

241432789562496 is a `hidden beast` number, since 2 + 4 + 1 + 4 + 3 + 2 + 7 + 89 + 56 + 2 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40941626620 + ... + 40941632516.

It is an arithmetic number, because the mean of its divisors is an integer number (1074049392000).

Almost surely, 2^{241432789562496} 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 241432789562496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412434966528000).

241432789562496 is an abundant number, since it is smaller than the sum of its proper divisors (583437143493504).

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

241432789562496 is a wasteful number, since it uses less digits than its factorization.

241432789562496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6977 (or 6962 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 72.

The spelling of 241432789562496 in words is "two hundred forty-one trillion, four hundred thirty-two billion, seven hundred eighty-nine million, five hundred sixty-two thousand, four hundred ninety-six".