5011114131400 has 192 divisors, whose sum is σ = 12682635915600. Its totient is φ = 1830297600000.

The previous prime is 5011114131293. The next prime is 5011114131409. The reversal of 5011114131400 is 41314111105.

It can be written as a sum of positive squares in 24 ways, for example, as 1439006571396 + 3572107560004 = 1199586^2 + 1890002^2 .

It is a super-2 number, since 2×5011114131400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5011114131409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315374656 + ... + 315390544.

Almost surely, 2^{5011114131400} is an apocalyptic number.

5011114131400 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 5011114131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6341317957800).

5011114131400 is an abundant number, since it is smaller than the sum of its proper divisors (7671521784200).

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

5011114131400 is a wasteful number, since it uses less digits than its factorization.

5011114131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17220 (or 17211 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 22.

Adding to 5011114131400 its reverse (41314111105), we get a palindrome (5052428242505).

The spelling of 5011114131400 in words is "five trillion, eleven billion, one hundred fourteen million, one hundred thirty-one thousand, four hundred".