241243288070400 has 9720 divisors, whose sum is σ = 1276399977985440. Its totient is φ = 44696597299200.

The previous prime is 241243288070359. The next prime is 241243288070467. The reversal of 241243288070400 is 4070882342142.

241243288070400 is a `hidden beast` number, since 2 + 41 + 2 + 43 + 28 + 80 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (9720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1079 ways as a sum of consecutive naturals, for example, 12697015161591 + ... + 12697015161609.

Almost surely, 2^{241243288070400} is an apocalyptic number.

241243288070400 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 241243288070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638199988992720).

241243288070400 is an abundant number, since it is smaller than the sum of its proper divisors (1035156689915040).

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

241243288070400 is an equidigital number, since it uses as much as digits as its factorization.

241243288070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 241243288070400 in words is "two hundred forty-one trillion, two hundred forty-three billion, two hundred eighty-eight million, seventy thousand, four hundred".