241204640400 has 120 divisors (see below), whose sum is σ = 858509888160. Its totient is φ = 64321234560.

The previous prime is 241204640393. The next prime is 241204640401. The reversal of 241204640400 is 4046402142.

It is a happy number.

241204640400 is a `hidden beast` number, since 2 + 4 + 12 + 0 + 4 + 640 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (241204640401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11156082 + ... + 11177681.

It is an arithmetic number, because the mean of its divisors is an integer number (7154249068).

Almost surely, 2^241204640400 is an apocalyptic number.

241204640400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241204640400 is an abundant number, since it is smaller than the sum of its proper divisors (617305247760).

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

241204640400 is a wasteful number, since it uses less digits than its factorization.

241204640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22333790 (or 22333773 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 241204640400 in words is "two hundred forty-one billion, two hundred four million, six hundred forty thousand, four hundred".