5441129640 has 384 divisors, whose sum is σ = 19262880000. Its totient is φ = 1379524608.

The previous prime is 5441129627. The next prime is 5441129647. The reversal of 5441129640 is 469211445.

5441129640 is a `hidden beast` number, since 5 + 4 + 4 + 1 + 1 + 2 + 9 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5441129595 and 5441129604.

It is not an unprimeable number, because it can be changed into a prime (5441129647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27342261 + ... + 27342459.

It is an arithmetic number, because the mean of its divisors is an integer number (50163750).

Almost surely, 2^5441129640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5441129640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9631440000).

5441129640 is an abundant number, since it is smaller than the sum of its proper divisors (13821750360).

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

5441129640 is a wasteful number, since it uses less digits than its factorization.

5441129640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5441129640 is about 73764.0131771584. The cubic root of 5441129640 is about 1758.8535965818.

The spelling of 5441129640 in words is "five billion, four hundred forty-one million, one hundred twenty-nine thousand, six hundred forty".