44820460242 has 128 divisors (see below), whose sum is σ = 102643200000. Its totient is φ = 14493076416.

The previous prime is 44820460241. The next prime is 44820460291. The reversal of 44820460242 is 24206402844.

It is a happy number.

44820460242 is a `hidden beast` number, since 4 + 4 + 8 + 2 + 0 + 4 + 602 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 44820460197 and 44820460206.

It is not an unprimeable number, because it can be changed into a prime (44820460241) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 68012509 + ... + 68013167.

It is an arithmetic number, because the mean of its divisors is an integer number (801900000).

Almost surely, 2^44820460242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44820460242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51321600000).

44820460242 is an abundant number, since it is smaller than the sum of its proper divisors (57822739758).

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

44820460242 is a wasteful number, since it uses less digits than its factorization.

44820460242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 44820460242 in words is "forty-four billion, eight hundred twenty million, four hundred sixty thousand, two hundred forty-two".