242317190269440 has 1600 divisors, whose sum is σ = 1021374973567872. Its totient is φ = 54132306739200.

The previous prime is 242317190269421. The next prime is 242317190269459. The reversal of 242317190269440 is 44962091713242.

242317190269440 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 1 + 7 + 190 + 2 + 6 + 9 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (242317190269421) and next prime (242317190269459).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18176963575 + ... + 18176976905.

Almost surely, 2^{242317190269440} is an apocalyptic number.

242317190269440 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 242317190269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510687486783936).

242317190269440 is an abundant number, since it is smaller than the sum of its proper divisors (779057783298432).

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

242317190269440 is a wasteful number, since it uses less digits than its factorization.

242317190269440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14003 (or 13978 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 242317190269440 in words is "two hundred forty-two trillion, three hundred seventeen billion, one hundred ninety million, two hundred sixty-nine thousand, four hundred forty".