5040531412000 has 288 divisors, whose sum is σ = 14903353548720. Its totient is φ = 1668587827200.

The previous prime is 5040531411991. The next prime is 5040531412001. The reversal of 5040531412000 is 2141350405.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 139036511376 + 4901494900624 = 372876^2 + 2213932^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5040531412001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5240604 + ... + 6127396.

Almost surely, 2^{5040531412000} is an apocalyptic number.

5040531412000 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 5040531412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7451676774360).

5040531412000 is an abundant number, since it is smaller than the sum of its proper divisors (9862822136720).

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

5040531412000 is a wasteful number, since it uses less digits than its factorization.

5040531412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886861 (or 886836 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 5040531412000 its reverse (2141350405), we get a palindrome (5042672762405).

The spelling of 5040531412000 in words is "five trillion, forty billion, five hundred thirty-one million, four hundred twelve thousand".