241262284064400 has 405 divisors, whose sum is σ = 847727786605609. Its totient is φ = 63541090417920.

The previous prime is 241262284064369. The next prime is 241262284064437. The reversal of 241262284064400 is 4460482262142.

The square root of 241262284064400 is 15532620.

It is a perfect power (a square), and thus also a powerful number.

241262284064400 is a `hidden beast` number, since 2 + 4 + 12 + 6 + 228 + 4 + 0 + 6 + 4 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 86854422263184 + 154407861801216 = 9319572^2 + 12426096^2 .

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

It is a Duffinian number.

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 80 ways as a sum of consecutive naturals, for example, 77352446041 + ... + 77352449159.

Almost surely, 2^{241262284064400} is an apocalyptic number.

241262284064400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

241262284064400 is the 15532620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241262284064400

241262284064400 is an abundant number, since it is smaller than the sum of its proper divisors (606465502541209).

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

241262284064400 is an frugal number, since it uses more digits than its factorization.

241262284064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6428 (or 3212 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 241262284064400 in words is "two hundred forty-one trillion, two hundred sixty-two billion, two hundred eighty-four million, sixty-four thousand, four hundred".