242541214401376 has 48 divisors (see below), whose sum is σ = 520920829211328. Its totient is φ = 110244218550400.

The previous prime is 242541214401263. The next prime is 242541214401377. The reversal of 242541214401376 is 673104412145242.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242541214401377) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16268571 + ... + 27381541.

It is an arithmetic number, because the mean of its divisors is an integer number (10852517275236).

Almost surely, 2^{242541214401376} is an apocalyptic number.

It is an amenable number.

242541214401376 is an abundant number, since it is smaller than the sum of its proper divisors (278379614809952).

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

242541214401376 is a wasteful number, since it uses less digits than its factorization.

242541214401376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11174995 (or 11174987 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 46.

The spelling of 242541214401376 in words is "two hundred forty-two trillion, five hundred forty-one billion, two hundred fourteen million, four hundred one thousand, three hundred seventy-six".