45041084840900 has 72 divisors (see below), whose sum is σ = 100185744925896. Its totient is φ = 17565999897600.

The previous prime is 45041084840897. The next prime is 45041084840929. The reversal of 45041084840900 is 904848014054.

It can be written as a sum of positive squares in 12 ways, for example, as 32409770789764 + 12631314051136 = 5692958^2 + 3554056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3108242 + ... + 9987158.

Almost surely, 2^{45041084840900} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45041084840900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50092872462948).

45041084840900 is an abundant number, since it is smaller than the sum of its proper divisors (55144660084996).

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

45041084840900 is a wasteful number, since it uses less digits than its factorization.

45041084840900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6880569 (or 6880562 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 47.

The spelling of 45041084840900 in words is "forty-five trillion, forty-one billion, eighty-four million, eight hundred forty thousand, nine hundred".