5881442400 has 720 divisors, whose sum is σ = 23990495760. Its totient is φ = 1393459200.

The previous prime is 5881442393. The next prime is 5881442461. The reversal of 5881442400 is 42441885.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20930260 + ... + 20930540.

It is an arithmetic number, because the mean of its divisors is an integer number (33320133).

Almost surely, 2^5881442400 is an apocalyptic number.

5881442400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5881442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11995247880).

5881442400 is an abundant number, since it is smaller than the sum of its proper divisors (18109053360).

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

5881442400 is a wasteful number, since it uses less digits than its factorization.

5881442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 5881442400 is about 76690.5626527802. The cubic root of 5881442400 is about 1805.0723594455.

The spelling of 5881442400 in words is "five billion, eight hundred eighty-one million, four hundred forty-two thousand, four hundred".