4449151324800 has 4608 divisors, whose sum is σ = 22220006400000. Its totient is φ = 847780577280.

The previous prime is 4449151324777. The next prime is 4449151324801. The reversal of 4449151324800 is 84231519444.

4449151324800 is a `hidden beast` number, since 4 + 4 + 4 + 91 + 51 + 32 + 480 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4449151324801) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 56318371161 + ... + 56318371239.

It is an arithmetic number, because the mean of its divisors is an integer number (4822050000).

Almost surely, 2^{4449151324800} is an apocalyptic number.

4449151324800 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 4449151324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11110003200000).

4449151324800 is an abundant number, since it is smaller than the sum of its proper divisors (17770855075200).

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

4449151324800 is a wasteful number, since it uses less digits than its factorization.

4449151324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4449151324800 in words is "four trillion, four hundred forty-nine billion, one hundred fifty-one million, three hundred twenty-four thousand, eight hundred".