242431041442400 has 72 divisors (see below), whose sum is σ = 591959833489584. Its totient is φ = 96951926489600.

The previous prime is 242431041442363. The next prime is 242431041442417. The reversal of 242431041442400 is 4244140134242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28226996 + ... + 35799795.

It is an arithmetic number, because the mean of its divisors is an integer number (8221664354022).

Almost surely, 2^{242431041442400} is an apocalyptic number.

242431041442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242431041442400 is an abundant number, since it is smaller than the sum of its proper divisors (349528792047184).

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

242431041442400 is a wasteful number, since it uses less digits than its factorization.

242431041442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64031544 (or 64031531 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 242431041442400 its reverse (4244140134242), we get a palindrome (246675181576642).

The spelling of 242431041442400 in words is "two hundred forty-two trillion, four hundred thirty-one billion, forty-one million, four hundred forty-two thousand, four hundred".