45441442000 has 160 divisors (see below), whose sum is σ = 117655817760. Its totient is φ = 16914022400.

The previous prime is 45441441989. The next prime is 45441442001. The reversal of 45441442000 is 24414454.

It can be written as a sum of positive squares in 16 ways, for example, as 36030113856 + 9411328144 = 189816^2 + 97012^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45441442000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45441442001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3018492 + ... + 3033508.

It is an arithmetic number, because the mean of its divisors is an integer number (735348861).

Almost surely, 2^45441442000 is an apocalyptic number.

45441442000 is a gapful number since it is divisible by the number (40) 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 45441442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58827908880).

45441442000 is an abundant number, since it is smaller than the sum of its proper divisors (72214375760).

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

45441442000 is a wasteful number, since it uses less digits than its factorization.

45441442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15146 (or 15130 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 45441442000 its reverse (24414454), we get a palindrome (45465856454).

The spelling of 45441442000 in words is "forty-five billion, four hundred forty-one million, four hundred forty-two thousand".