5441361408 has 480 divisors, whose sum is σ = 19452549600. Its totient is φ = 1495646208.

The previous prime is 5441361391. The next prime is 5441361439. The reversal of 5441361408 is 8041631445.

5441361408 is a `hidden beast` number, since 544 + 13 + 61 + 40 + 8 = 666.

It is a super-3 number, since 3×5441361408³ (a number of 30 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 19643766 + ... + 19644042.

It is an arithmetic number, because the mean of its divisors is an integer number (40526145).

Almost surely, 2^5441361408 is an apocalyptic number.

5441361408 is a gapful number since it is divisible by the number (58) 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 5441361408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9726274800).

5441361408 is an abundant number, since it is smaller than the sum of its proper divisors (14011188192).

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

5441361408 is a wasteful number, since it uses less digits than its factorization.

5441361408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5441361408 is about 73765.5841703975. The cubic root of 5441361408 is about 1758.8785693491.

The spelling of 5441361408 in words is "five billion, four hundred forty-one million, three hundred sixty-one thousand, four hundred eight".