5114970685440 has 2880 divisors, whose sum is σ = 23742928355328. Its totient is φ = 1025585971200.

The previous prime is 5114970685397. The next prime is 5114970685453. The reversal of 5114970685440 is 445860794115.

5114970685440 is a `hidden beast` number, since 5 + 1 + 1 + 4 + 97 + 0 + 6 + 8 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×5114970685440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72041840605 + ... + 72041840675.

Almost surely, 2^{5114970685440} 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 5114970685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11871464177664).

5114970685440 is an abundant number, since it is smaller than the sum of its proper divisors (18627957669888).

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

5114970685440 is an equidigital number, since it uses as much as digits as its factorization.

5114970685440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 5114970685440 in words is "five trillion, one hundred fourteen billion, nine hundred seventy million, six hundred eighty-five thousand, four hundred forty".