4506254438400 has 1872 divisors, whose sum is σ = 19591618056192. Its totient is φ = 974979072000.

The previous prime is 4506254438393. The next prime is 4506254438443. The reversal of 4506254438400 is 48344526054.

4506254438400 is a `hidden beast` number, since 4 + 5 + 0 + 62 + 544 + 3 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

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 143 ways as a sum of consecutive naturals, for example, 4085452249 + ... + 4085453351.

It is an arithmetic number, because the mean of its divisors is an integer number (10465607936).

Almost surely, 2^{4506254438400} is an apocalyptic number.

4506254438400 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 4506254438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9795809028096).

4506254438400 is an abundant number, since it is smaller than the sum of its proper divisors (15085363617792).

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

4506254438400 is a wasteful number, since it uses less digits than its factorization.

4506254438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 4506254438400 in words is "four trillion, five hundred six billion, two hundred fifty-four million, four hundred thirty-eight thousand, four hundred".