241125601663800 has 4608 divisors, whose sum is σ = 1109920496256000. Its totient is φ = 48252008448000.

The previous prime is 241125601663777. The next prime is 241125601663811. The reversal of 241125601663800 is 8366106521142.

241125601663800 is a `hidden beast` number, since 2 + 4 + 1 + 1 + 2 + 5 + 6 + 0 + 1 + 6 + 638 + 0 + 0 = 666.

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 1151 ways as a sum of consecutive naturals, for example, 422286517515 + ... + 422286518085.

It is an arithmetic number, because the mean of its divisors is an integer number (240868163250).

Almost surely, 2^{241125601663800} is an apocalyptic number.

241125601663800 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 241125601663800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554960248128000).

241125601663800 is an abundant number, since it is smaller than the sum of its proper divisors (868794894592200).

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

241125601663800 is a wasteful number, since it uses less digits than its factorization.

241125601663800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 241125601663800 in words is "two hundred forty-one trillion, one hundred twenty-five billion, six hundred one million, six hundred sixty-three thousand, eight hundred".