45005121040 has 160 divisors (see below), whose sum is σ = 115685095680. Its totient is φ = 16146432000.

The previous prime is 45005121019. The next prime is 45005121043. The reversal of 45005121040 is 4012150054.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (45005121043) 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, 37472440 + ... + 37473640.

It is an arithmetic number, because the mean of its divisors is an integer number (723031848).

Almost surely, 2^45005121040 is an apocalyptic number.

45005121040 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 45005121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57842547840).

45005121040 is an abundant number, since it is smaller than the sum of its proper divisors (70679974640).

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

45005121040 is a wasteful number, since it uses less digits than its factorization.

45005121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 45005121040 its reverse (4012150054), we get a palindrome (49017271094).

The spelling of 45005121040 in words is "forty-five billion, five million, one hundred twenty-one thousand, forty".