5131221140400 has 240 divisors, whose sum is σ = 16549231760544. Its totient is φ = 1358991728640.

The previous prime is 5131221140389. The next prime is 5131221140491. The reversal of 5131221140400 is 40411221315.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 538254034 + ... + 538263566.

Almost surely, 2^{5131221140400} is an apocalyptic number.

5131221140400 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 5131221140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8274615880272).

5131221140400 is an abundant number, since it is smaller than the sum of its proper divisors (11418010620144).

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

5131221140400 is a wasteful number, since it uses less digits than its factorization.

5131221140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12568 (or 12557 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 5131221140400 its reverse (40411221315), we get a palindrome (5171632361715).

The spelling of 5131221140400 in words is "five trillion, one hundred thirty-one billion, two hundred twenty-one million, one hundred forty thousand, four hundred".