4454232242400 has 432 divisors, whose sum is σ = 16139243772288. Its totient is φ = 1155119616000.

The previous prime is 4454232242377. The next prime is 4454232242401. The reversal of 4454232242400 is 42422324544.

It is a happy number.

4454232242400 is a `hidden beast` number, since 4 + 4 + 5 + 4 + 2 + 3 + 2 + 242 + 400 = 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 (4454232242401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 922007985 + ... + 922012815.

It is an arithmetic number, because the mean of its divisors is an integer number (37359360584).

Almost surely, 2^{4454232242400} is an apocalyptic number.

4454232242400 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 4454232242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8069621886144).

4454232242400 is an abundant number, since it is smaller than the sum of its proper divisors (11685011529888).

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

4454232242400 is a wasteful number, since it uses less digits than its factorization.

4454232242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8355 (or 8339 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 36.

Adding to 4454232242400 its reverse (42422324544), we get a palindrome (4496654566944).

The spelling of 4454232242400 in words is "four trillion, four hundred fifty-four billion, two hundred thirty-two million, two hundred forty-two thousand, four hundred".