242404401345040 has 80 divisors (see below), whose sum is σ = 614994486065856. Its totient is φ = 88122857587200.

The previous prime is 242404401344957. The next prime is 242404401345143. The reversal of 242404401345040 is 40543104404242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×242404401345040² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34600851 + ... + 41012530.

Almost surely, 2^{242404401345040} is an apocalyptic number.

242404401345040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242404401345040 is an abundant number, since it is smaller than the sum of its proper divisors (372590084720816).

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

242404401345040 is a wasteful number, since it uses less digits than its factorization.

242404401345040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75617048 (or 75617042 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 37.

Adding to 242404401345040 its reverse (40543104404242), we get a palindrome (282947505749282).

The spelling of 242404401345040 in words is "two hundred forty-two trillion, four hundred four billion, four hundred one million, three hundred forty-five thousand, forty".