242001320040 has 96 divisors (see below), whose sum is σ = 789428413800. Its totient is φ = 64293757440.

The previous prime is 242001320003. The next prime is 242001320047. The reversal of 242001320040 is 40023100242.

242001320040 is a `hidden beast` number, since 2 + 420 + 0 + 1 + 3 + 200 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 127701881316 + 114299438724 = 357354^2 + 338082^2 .

It is a super-2 number, since 2×242001320040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 242001319995 and 242001320022.

It is not an unprimeable number, because it can be changed into a prime (242001320047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1152651 + ... + 1346330.

Almost surely, 2^242001320040 is an apocalyptic number.

242001320040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242001320040 is an abundant number, since it is smaller than the sum of its proper divisors (547427093760).

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

242001320040 is a wasteful number, since it uses less digits than its factorization.

242001320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499267 (or 2499260 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 242001320040 its reverse (40023100242), we get a palindrome (282024420282).

The spelling of 242001320040 in words is "two hundred forty-two billion, one million, three hundred twenty thousand, forty".