4054450982400 has 2400 divisors, whose sum is σ = 18867103886400. Its totient is φ = 854469181440.

The previous prime is 4054450982381. The next prime is 4054450982419. The reversal of 4054450982400 is 42890544504.

It is a happy number.

4054450982400 is a `hidden beast` number, since 40 + 54 + 450 + 98 + 24 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4054450982381) and next prime (4054450982419).

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4623090762 + ... + 4623091638.

It is an arithmetic number, because the mean of its divisors is an integer number (7861293286).

Almost surely, 2^{4054450982400} is an apocalyptic number.

4054450982400 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 4054450982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9433551943200).

4054450982400 is an abundant number, since it is smaller than the sum of its proper divisors (14812652904000).

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

4054450982400 is an equidigital number, since it uses as much as digits as its factorization.

4054450982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 4054450982400 in words is "four trillion, fifty-four billion, four hundred fifty million, nine hundred eighty-two thousand, four hundred".