5781277440 has 432 divisors, whose sum is σ = 21449981280. Its totient is φ = 1433272320.

The previous prime is 5781277429. The next prime is 5781277457. The reversal of 5781277440 is 447721875.

5781277440 is a `hidden beast` number, since 578 + 1 + 2 + 7 + 74 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 13351464 + ... + 13351896.

Almost surely, 2^5781277440 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 5781277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10724990640).

5781277440 is an abundant number, since it is smaller than the sum of its proper divisors (15668703840).

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

5781277440 is a wasteful number, since it uses less digits than its factorization.

5781277440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The square root of 5781277440 is about 76034.7120728421. The cubic root of 5781277440 is about 1794.7664275550.

The spelling of 5781277440 in words is "five billion, seven hundred eighty-one million, two hundred seventy-seven thousand, four hundred forty".