4641448032000 has 864 divisors, whose sum is σ = 18281749851456. Its totient is φ = 1123725312000.

The previous prime is 4641448031999. The next prime is 4641448032019. The reversal of 4641448032000 is 2308441464.

4641448032000 is a `hidden beast` number, since 4 + 6 + 4 + 1 + 448 + 0 + 3 + 200 + 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 228373839 + ... + 228394161.

Almost surely, 2^{4641448032000} is an apocalyptic number.

4641448032000 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 4641448032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9140874925728).

4641448032000 is an abundant number, since it is smaller than the sum of its proper divisors (13640301819456).

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

4641448032000 is a wasteful number, since it uses less digits than its factorization.

4641448032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20434 (or 20407 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 4641448032000 in words is "four trillion, six hundred forty-one billion, four hundred forty-eight million, thirty-two thousand".