5840234400 has 1296 divisors, whose sum is σ = 27379622592. Its totient is φ = 1054310400.

The previous prime is 5840234371. The next prime is 5840234431. The reversal of 5840234400 is 44320485.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 343543192 + ... + 343543208.

It is an arithmetic number, because the mean of its divisors is an integer number (21126252).

Almost surely, 2^5840234400 is an apocalyptic number.

5840234400 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 5840234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13689811296).

5840234400 is an abundant number, since it is smaller than the sum of its proper divisors (21539388192).

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

5840234400 is a wasteful number, since it uses less digits than its factorization.

5840234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 5840234400 is about 76421.4263148759. The cubic root of 5840234400 is about 1800.8467620947.

Adding to 5840234400 its reverse (44320485), we get a palindrome (5884554885).

The spelling of 5840234400 in words is "five billion, eight hundred forty million, two hundred thirty-four thousand, four hundred".