5450941440 has 704 divisors, whose sum is σ = 22826833920. Its totient is φ = 1207664640.

The previous prime is 5450941429. The next prime is 5450941459. The reversal of 5450941440 is 441490545.

5450941440 is a `hidden beast` number, since 5 + 4 + 509 + 4 + 144 + 0 = 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 = 5450941395 and 5450941404.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 41610175 + ... + 41610305.

It is an arithmetic number, because the mean of its divisors is an integer number (32424480).

Almost surely, 2^5450941440 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 5450941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11413416960).

5450941440 is an abundant number, since it is smaller than the sum of its proper divisors (17375892480).

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

5450941440 is a wasteful number, since it uses less digits than its factorization.

5450941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5450941440 is about 73830.4912620795. The cubic root of 5450941440 is about 1759.9101882545.

The spelling of 5450941440 in words is "five billion, four hundred fifty million, nine hundred forty-one thousand, four hundred forty".