4451143680 has 624 divisors, whose sum is σ = 17173578240. Its totient is φ = 1061683200.

The previous prime is 4451143673. The next prime is 4451143681. The reversal of 4451143680 is 863411544.

4451143680 is a `hidden beast` number, since 4 + 451 + 143 + 68 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4451143681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108564460 + ... + 108564500.

It is an arithmetic number, because the mean of its divisors is an integer number (27521760).

Almost surely, 2^4451143680 is an apocalyptic number.

4451143680 is a gapful number since it is divisible by the number (40) 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 4451143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8586789120).

4451143680 is an abundant number, since it is smaller than the sum of its proper divisors (12722434560).

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

4451143680 is a wasteful number, since it uses less digits than its factorization.

4451143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

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

The square root of 4451143680 is about 66716.8920139420. The cubic root of 4451143680 is about 1644.9670549538.

The spelling of 4451143680 in words is "four billion, four hundred fifty-one million, one hundred forty-three thousand, six hundred eighty".