45441823120 has 160 divisors (see below), whose sum is σ = 112569295104. Its totient is φ = 17022720000.

The previous prime is 45441823087. The next prime is 45441823121. The reversal of 45441823120 is 2132814454.

It is not an unprimeable number, because it can be changed into a prime (45441823121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28171434 + ... + 28173046.

Almost surely, 2^45441823120 is an apocalyptic number.

45441823120 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 45441823120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56284647552).

45441823120 is an abundant number, since it is smaller than the sum of its proper divisors (67127471984).

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

45441823120 is a wasteful number, since it uses less digits than its factorization.

45441823120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 45441823120 in words is "forty-five billion, four hundred forty-one million, eight hundred twenty-three thousand, one hundred twenty".