242224255441432 has 64 divisors (see below), whose sum is σ = 495644159376000. Its totient is φ = 110060729264640.

The previous prime is 242224255441387. The next prime is 242224255441439. The reversal of 242224255441432 is 234144552422242.

242224255441432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242224255441432² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242224255441439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3135834603 + ... + 3135911845.

It is an arithmetic number, because the mean of its divisors is an integer number (7744439990250).

Almost surely, 2^{242224255441432} is an apocalyptic number.

242224255441432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

242224255441432 is an abundant number, since it is smaller than the sum of its proper divisors (253419903934568).

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

242224255441432 is a wasteful number, since it uses less digits than its factorization.

242224255441432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90136 (or 90132 counting only the distinct ones).

The product of its digits is 4915200, while the sum is 46.

The spelling of 242224255441432 in words is "two hundred forty-two trillion, two hundred twenty-four billion, two hundred fifty-five million, four hundred forty-one thousand, four hundred thirty-two".