241416217244772 has 192 divisors, whose sum is σ = 638320977342720. Its totient is φ = 78883701811200.

The previous prime is 241416217244749. The next prime is 241416217244803. The reversal of 241416217244772 is 277442712614142.

241416217244772 is a `hidden beast` number, since 2 + 4 + 1 + 4 + 1 + 62 + 1 + 72 + 447 + 72 = 666.

It is a super-2 number, since 2×241416217244772² (a number of 30 digits) contains 22 as substring.

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

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, 2571137458 + ... + 2571231350.

It is an arithmetic number, because the mean of its divisors is an integer number (3324588423660).

Almost surely, 2^{241416217244772} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241416217244772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319160488671360).

241416217244772 is an abundant number, since it is smaller than the sum of its proper divisors (396904760097948).

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

241416217244772 is a wasteful number, since it uses less digits than its factorization.

241416217244772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95291 (or 95283 counting only the distinct ones).

The product of its digits is 8429568, while the sum is 54.

The spelling of 241416217244772 in words is "two hundred forty-one trillion, four hundred sixteen billion, two hundred seventeen million, two hundred forty-four thousand, seven hundred seventy-two".