5441174400 has 384 divisors, whose sum is σ = 19700524800. Its totient is φ = 1313832960.

The previous prime is 5441174383. The next prime is 5441174407. The reversal of 5441174400 is 44711445.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5441174407) by changing a digit.

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, 4194552 + ... + 4195848.

It is an arithmetic number, because the mean of its divisors is an integer number (51303450).

Almost surely, 2^5441174400 is an apocalyptic number.

5441174400 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 5441174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9850262400).

5441174400 is an abundant number, since it is smaller than the sum of its proper divisors (14259350400).

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

5441174400 is a wasteful number, since it uses less digits than its factorization.

5441174400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 5441174400 is about 73764.3165765128. The cubic root of 5441174400 is about 1758.8584194817.

Adding to 5441174400 its reverse (44711445), we get a palindrome (5485885845).

The spelling of 5441174400 in words is "five billion, four hundred forty-one million, one hundred seventy-four thousand, four hundred".