241616397341440 has 576 divisors, whose sum is σ = 663141494550528. Its totient is φ = 83550663475200.

The previous prime is 241616397341381. The next prime is 241616397341497. The reversal of 241616397341440 is 44143793616142.

It is a happy number.

241616397341440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×241616397341440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

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, 18633169837 + ... + 18633182803.

It is an arithmetic number, because the mean of its divisors is an integer number (1151287316928).

Almost surely, 2^{241616397341440} is an apocalyptic number.

241616397341440 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 241616397341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331570747275264).

241616397341440 is an abundant number, since it is smaller than the sum of its proper divisors (421525097209088).

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

241616397341440 is a wasteful number, since it uses less digits than its factorization.

241616397341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13844 (or 13830 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 55.

The spelling of 241616397341440 in words is "two hundred forty-one trillion, six hundred sixteen billion, three hundred ninety-seven million, three hundred forty-one thousand, four hundred forty".