242057312629440 has 448 divisors, whose sum is σ = 958225385438208. Its totient is φ = 50294701670400.

The previous prime is 242057312629421. The next prime is 242057312629459. The reversal of 242057312629440 is 44926213750242.

It is an interprime number because it is at equal distance from previous prime (242057312629421) and next prime (242057312629459).

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1414817182 + ... + 1414988258.

Almost surely, 2^{242057312629440} is an apocalyptic number.

242057312629440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242057312629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479112692719104).

242057312629440 is an abundant number, since it is smaller than the sum of its proper divisors (716168072808768).

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

242057312629440 is a wasteful number, since it uses less digits than its factorization.

242057312629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190256 (or 190246 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 242057312629440 in words is "two hundred forty-two trillion, fifty-seven billion, three hundred twelve million, six hundred twenty-nine thousand, four hundred forty".