241590632640 has 224 divisors, whose sum is σ = 877947870720. Its totient is φ = 55137632256.

The previous prime is 241590632639. The next prime is 241590632651. The reversal of 241590632640 is 46236095142.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 241590632592 and 241590632601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4495851 + ... + 4549269.

Almost surely, 2^241590632640 is an apocalyptic number.

241590632640 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 241590632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438973935360).

241590632640 is an abundant number, since it is smaller than the sum of its proper divisors (636357238080).

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

241590632640 is a wasteful number, since it uses less digits than its factorization.

241590632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54119 (or 54109 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 241590632640 in words is "two hundred forty-one billion, five hundred ninety million, six hundred thirty-two thousand, six hundred forty".