5179261440 has 320 divisors, whose sum is σ = 17500665600. Its totient is φ = 1304100864.

The previous prime is 5179261427. The next prime is 5179261441. The reversal of 5179261440 is 441629715.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (5179261441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19253626 + ... + 19253894.

It is an arithmetic number, because the mean of its divisors is an integer number (54689580).

Almost surely, 2^5179261440 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 5179261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8750332800).

5179261440 is an abundant number, since it is smaller than the sum of its proper divisors (12321404160).

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

5179261440 is a wasteful number, since it uses less digits than its factorization.

5179261440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 5179261440 is about 71967.0858101118. The cubic root of 5179261440 is about 1730.1719944384.

The spelling of 5179261440 in words is "five billion, one hundred seventy-nine million, two hundred sixty-one thousand, four hundred forty".