241415976960 has 960 divisors, whose sum is σ = 919004486400. Its totient is φ = 60515942400.

The previous prime is 241415976941. The next prime is 241415976973. The reversal of 241415976960 is 69679514142.

241415976960 is a `hidden beast` number, since 2 + 4 + 1 + 41 + 597 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 241415976897 and 241415976906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1054218126 + ... + 1054218354.

It is an arithmetic number, because the mean of its divisors is an integer number (957296340).

Almost surely, 2^241415976960 is an apocalyptic number.

241415976960 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 241415976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459502243200).

241415976960 is an abundant number, since it is smaller than the sum of its proper divisors (677588509440).

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

241415976960 is a wasteful number, since it uses less digits than its factorization.

241415976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 241415976960 in words is "two hundred forty-one billion, four hundred fifteen million, nine hundred seventy-six thousand, nine hundred sixty".