5041105540400 has 120 divisors (see below), whose sum is σ = 12298651742160. Its totient is φ = 1985274593280.

The previous prime is 5041105540397. The next prime is 5041105540403. The reversal of 5041105540400 is 40455011405.

It is an interprime number because it is at equal distance from previous prime (5041105540397) and next prime (5041105540403).

It is not an unprimeable number, because it can be changed into a prime (5041105540403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50575412 + ... + 50674988.

It is an arithmetic number, because the mean of its divisors is an integer number (102488764518).

Almost surely, 2^{5041105540400} is an apocalyptic number.

5041105540400 is a gapful number since it is divisible by the number (50) 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 5041105540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6149325871080).

5041105540400 is an abundant number, since it is smaller than the sum of its proper divisors (7257546201760).

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

5041105540400 is a wasteful number, since it uses less digits than its factorization.

5041105540400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101551 (or 101540 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The spelling of 5041105540400 in words is "five trillion, forty-one billion, one hundred five million, five hundred forty thousand, four hundred".