242933346440 has 64 divisors (see below), whose sum is σ = 561579006960. Its totient is φ = 94512337920.

The previous prime is 242933346427. The next prime is 242933346451. The reversal of 242933346440 is 44643339242.

It can be written as a sum of positive squares in 8 ways, for example, as 218965971844 + 23967374596 = 467938^2 + 154814^2 .

It is a super-2 number, since 2×242933346440² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242933346391 and 242933346400.

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, 4205594 + ... + 4262966.

Almost surely, 2^242933346440 is an apocalyptic number.

242933346440 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 242933346440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280789503480).

242933346440 is an abundant number, since it is smaller than the sum of its proper divisors (318645660520).

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

242933346440 is a wasteful number, since it uses less digits than its factorization.

242933346440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60282 (or 60278 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 44.

It can be divided in two parts, 24293 and 3346440, that added together give a palindrome (3370733).

The spelling of 242933346440 in words is "two hundred forty-two billion, nine hundred thirty-three million, three hundred forty-six thousand, four hundred forty".