5112127440 has 240 divisors, whose sum is σ = 19661241600. Its totient is φ = 1166082048.

The previous prime is 5112127429. The next prime is 5112127457. The reversal of 5112127440 is 447212115.

5112127440 is a `hidden beast` number, since 5 + 1 + 1 + 212 + 7 + 440 = 666.

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

It is a super-2 number, since 2×5112127440² = 52267693925601907200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 3875101 + ... + 3876419.

It is an arithmetic number, because the mean of its divisors is an integer number (81921840).

Almost surely, 2^5112127440 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 5112127440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9830620800).

5112127440 is an abundant number, since it is smaller than the sum of its proper divisors (14549114160).

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

5112127440 is a wasteful number, since it uses less digits than its factorization.

5112127440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5112127440 is about 71499.1429319261. The cubic root of 5112127440 is about 1722.6639178128.

Adding to 5112127440 its reverse (447212115), we get a palindrome (5559339555).

The spelling of 5112127440 in words is "five billion, one hundred twelve million, one hundred twenty-seven thousand, four hundred forty".