4451668032 has 224 divisors, whose sum is σ = 14337792000. Its totient is φ = 1216190976.

The previous prime is 4451667973. The next prime is 4451668037. The reversal of 4451668032 is 2308661544.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4451668037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1513219 + ... + 1516157.

It is an arithmetic number, because the mean of its divisors is an integer number (64008000).

Almost surely, 2^4451668032 is an apocalyptic number.

4451668032 is a gapful number since it is divisible by the number (42) 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 4451668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7168896000).

4451668032 is an abundant number, since it is smaller than the sum of its proper divisors (9886123968).

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

4451668032 is a wasteful number, since it uses less digits than its factorization.

4451668032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 4451668032 is about 66720.8215776754. The cubic root of 4451668032 is about 1645.0316456867.

The spelling of 4451668032 in words is "four billion, four hundred fifty-one million, six hundred sixty-eight thousand, thirty-two".