301020042440 has 128 divisors (see below), whose sum is σ = 776225086560. Its totient is φ = 104076263424.

The previous prime is 301020042439. The next prime is 301020042467. The reversal of 301020042440 is 44240020103.

It can be written as a sum of positive squares in 16 ways, for example, as 26865176836 + 274154865604 = 163906^2 + 523598^2 .

It is a super-2 number, since 2×301020042440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1655054 + ... + 1827906.

Almost surely, 2^301020042440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301020042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388112543280).

301020042440 is an abundant number, since it is smaller than the sum of its proper divisors (475205044120).

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

301020042440 is a wasteful number, since it uses less digits than its factorization.

301020042440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173091 (or 173087 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 301020042440 its reverse (44240020103), we get a palindrome (345260062543).

The spelling of 301020042440 in words is "three hundred one billion, twenty million, forty-two thousand, four hundred forty".