45105133040 has 320 divisors, whose sum is σ = 123742080000. Its totient is φ = 15109079040.

The previous prime is 45105133027. The next prime is 45105133121. The reversal of 45105133040 is 4033150154.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 226658861 + ... + 226659059.

It is an arithmetic number, because the mean of its divisors is an integer number (386694000).

Almost surely, 2^45105133040 is an apocalyptic number.

45105133040 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 45105133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61871040000).

45105133040 is an abundant number, since it is smaller than the sum of its proper divisors (78636946960).

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

45105133040 is a wasteful number, since it uses less digits than its factorization.

45105133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 45105133040 its reverse (4033150154), we get a palindrome (49138283194).

The spelling of 45105133040 in words is "forty-five billion, one hundred five million, one hundred thirty-three thousand, forty".