4477721472000 has 1760 divisors, whose sum is σ = 19288674662400. Its totient is φ = 1011850444800.

The previous prime is 4477721471953. The next prime is 4477721472011. The reversal of 4477721472000 is 2741277744.

4477721472000 is a `hidden beast` number, since 44 + 77 + 72 + 1 + 472 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7475327701 + ... + 7475328299.

It is an arithmetic number, because the mean of its divisors is an integer number (10959474240).

Almost surely, 2^{4477721472000} is an apocalyptic number.

4477721472000 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 4477721472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9644337331200).

4477721472000 is an abundant number, since it is smaller than the sum of its proper divisors (14810953190400).

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

4477721472000 is a wasteful number, since it uses less digits than its factorization.

4477721472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 614656, while the sum is 45.

The spelling of 4477721472000 in words is "four trillion, four hundred seventy-seven billion, seven hundred twenty-one million, four hundred seventy-two thousand".