241997440320 has 1176 divisors, whose sum is σ = 945099690696. Its totient is φ = 58925408256.

The previous prime is 241997440303. The next prime is 241997440339. The reversal of 241997440320 is 23044799142.

It can be written as a sum of positive squares in 4 ways, for example, as 91838090304 + 150159350016 = 303048^2 + 387504^2 .

It is a super-2 number, since 2×241997440320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4565989414 + ... + 4565989466.

Almost surely, 2^241997440320 is an apocalyptic number.

241997440320 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 241997440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472549845348).

241997440320 is an abundant number, since it is smaller than the sum of its proper divisors (703102250376).

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

241997440320 is an equidigital number, since it uses as much as digits as its factorization.

241997440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 241997440320 in words is "two hundred forty-one billion, nine hundred ninety-seven million, four hundred forty thousand, three hundred twenty".