5112412381440 has 3456 divisors, whose sum is σ = 23882611415040. Its totient is φ = 1038405795840.

The previous prime is 5112412381421. The next prime is 5112412381441. The reversal of 5112412381440 is 441832142115.

5112412381440 is a `hidden beast` number, since 5 + 1 + 12 + 4 + 123 + 81 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×5112412381440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5112412381395 and 5112412381404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5112412381441) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 83810039010 + ... + 83810039070.

It is an arithmetic number, because the mean of its divisors is an integer number (6910477840).

Almost surely, 2^{5112412381440} 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 5112412381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11941305707520).

5112412381440 is an abundant number, since it is smaller than the sum of its proper divisors (18770199033600).

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

5112412381440 is an equidigital number, since it uses as much as digits as its factorization.

5112412381440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 5112412381440 in words is "five trillion, one hundred twelve billion, four hundred twelve million, three hundred eighty-one thousand, four hundred forty".