241340707440 has 960 divisors, whose sum is σ = 1017537552000. Its totient is φ = 52347617280.

The previous prime is 241340707423. The next prime is 241340707453. The reversal of 241340707440 is 44707043142.

It is a happy number.

241340707440 is a `hidden beast` number, since 241 + 3 + 407 + 0 + 7 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 241340707395 and 241340707404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 187230316 + ... + 187231604.

It is an arithmetic number, because the mean of its divisors is an integer number (1059934950).

Almost surely, 2^241340707440 is an apocalyptic number.

241340707440 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 241340707440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508768776000).

241340707440 is an abundant number, since it is smaller than the sum of its proper divisors (776196844560).

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

241340707440 is a wasteful number, since it uses less digits than its factorization.

241340707440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 241340707440 in words is "two hundred forty-one billion, three hundred forty million, seven hundred seven thousand, four hundred forty".