241150634781600 has 144 divisors (see below), whose sum is σ = 812012396317920. Its totient is φ = 62089358822400.

The previous prime is 241150634781557. The next prime is 241150634781691. The reversal of 241150634781600 is 6187436051142.

241150634781600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 241150634781600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1732334386 + ... + 1732473585.

It is an arithmetic number, because the mean of its divisors is an integer number (5638974974430).

Almost surely, 2^{241150634781600} is an apocalyptic number.

241150634781600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241150634781600 is an abundant number, since it is smaller than the sum of its proper divisors (570861761536320).

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

241150634781600 is a wasteful number, since it uses less digits than its factorization.

241150634781600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464808023 (or 3464808010 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 241150634781600 in words is "two hundred forty-one trillion, one hundred fifty billion, six hundred thirty-four million, seven hundred eighty-one thousand, six hundred".