5416441920 has 224 divisors, whose sum is σ = 19156314240. Its totient is φ = 1440737280.

The previous prime is 5416441889. The next prime is 5416441973. The reversal of 5416441920 is 291446145.

5416441920 is a `hidden beast` number, since 5 + 4 + 1 + 644 + 1 + 9 + 2 + 0 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 6678315 + ... + 6679125.

It is an arithmetic number, because the mean of its divisors is an integer number (85519260).

Almost surely, 2^5416441920 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 5416441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9578157120).

5416441920 is an abundant number, since it is smaller than the sum of its proper divisors (13739872320).

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

5416441920 is a wasteful number, since it uses less digits than its factorization.

5416441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1594 counting only the distinct ones).

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

The square root of 5416441920 is about 73596.4803506255. The cubic root of 5416441920 is about 1756.1894486201.

The spelling of 5416441920 in words is "five billion, four hundred sixteen million, four hundred forty-one thousand, nine hundred twenty".