5441564400 has 60 divisors (see below), whose sum is σ = 17431148472. Its totient is φ = 1451083520.

The previous prime is 5441564389. The next prime is 5441564407. The reversal of 5441564400 is 44651445.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×5441564400² = 59221246238694720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5441564407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2266119 + ... + 2268518.

Almost surely, 2^5441564400 is an apocalyptic number.

5441564400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5441564400 is an abundant number, since it is smaller than the sum of its proper divisors (11989584072).

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

5441564400 is a wasteful number, since it uses less digits than its factorization.

5441564400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4534658 (or 4534647 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 5441564400 is about 73766.9600837665. The cubic root of 5441564400 is about 1758.9004409490.

The spelling of 5441564400 in words is "five billion, four hundred forty-one million, five hundred sixty-four thousand, four hundred".