45115441040 has 40 divisors (see below), whose sum is σ = 104903014200. Its totient is φ = 18044522496.

The previous prime is 45115441013. The next prime is 45115441057. The reversal of 45115441040 is 4014451154.

It can be written as a sum of positive squares in 4 ways, for example, as 381499024 + 44733942016 = 19532^2 + 211504^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 45115440994 and 45115441012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1233902 + ... + 1269938.

It is an arithmetic number, because the mean of its divisors is an integer number (2622575355).

Almost surely, 2^45115441040 is an apocalyptic number.

45115441040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45115441040 is an abundant number, since it is smaller than the sum of its proper divisors (59787573160).

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

45115441040 is a wasteful number, since it uses less digits than its factorization.

45115441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51699 (or 51693 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

Adding to 45115441040 its reverse (4014451154), we get a palindrome (49129892194).

The spelling of 45115441040 in words is "forty-five billion, one hundred fifteen million, four hundred forty-one thousand, forty".