242405144343040 has 320 divisors, whose sum is σ = 671103242143488. Its totient is φ = 82252298649600.

The previous prime is 242405144343017. The next prime is 242405144343083. The reversal of 242405144343040 is 40343441504242.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 242405144342984 and 242405144343002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1957644330 + ... + 1957768150.

Almost surely, 2^{242405144343040} is an apocalyptic number.

242405144343040 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 242405144343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335551621071744).

242405144343040 is an abundant number, since it is smaller than the sum of its proper divisors (428698097800448).

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

242405144343040 is a wasteful number, since it uses less digits than its factorization.

242405144343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124979 (or 124963 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 40.

Adding to 242405144343040 its reverse (40343441504242), we get a palindrome (282748585847282).

The spelling of 242405144343040 in words is "two hundred forty-two trillion, four hundred five billion, one hundred forty-four million, three hundred forty-three thousand, forty".