5278141440 has 880 divisors, whose sum is σ = 22470164640. Its totient is φ = 1167851520.

The previous prime is 5278141417. The next prime is 5278141493. The reversal of 5278141440 is 441418725.

It is a happy number.

5278141440 is a `hidden beast` number, since 5 + 2 + 78 + 141 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

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 = 5278141395 and 5278141404.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 59304916 + ... + 59305004.

It is an arithmetic number, because the mean of its divisors is an integer number (25534278).

Almost surely, 2^5278141440 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 5278141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11235082320).

5278141440 is an abundant number, since it is smaller than the sum of its proper divisors (17192023200).

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

5278141440 is a wasteful number, since it uses less digits than its factorization.

5278141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 5278141440 is about 72650.8185776320. The cubic root of 5278141440 is about 1741.1131996660.

The spelling of 5278141440 in words is "five billion, two hundred seventy-eight million, one hundred forty-one thousand, four hundred forty".