5168701440 has 336 divisors, whose sum is σ = 20486875968. Its totient is φ = 1180827648.

The previous prime is 5168701409. The next prime is 5168701463. The reversal of 5168701440 is 441078615.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 5168701395 and 5168701404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2579479 + ... + 2581481.

Almost surely, 2^5168701440 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 5168701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10243437984).

5168701440 is an abundant number, since it is smaller than the sum of its proper divisors (15318174528).

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

5168701440 is a wasteful number, since it uses less digits than its factorization.

5168701440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5168701440 is about 71893.6815026189. The cubic root of 5168701440 is about 1728.9953113738.

The spelling of 5168701440 in words is "five billion, one hundred sixty-eight million, seven hundred one thousand, four hundred forty".