8445542400 has 540 divisors, whose sum is σ = 31692242400. Its totient is φ = 2146959360.

The previous prime is 8445542383. The next prime is 8445542401. The reversal of 8445542400 is 42455448.

8445542400 is a `hidden beast` number, since 84 + 4 + 554 + 24 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8445542401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 106905561 + ... + 106905639.

Almost surely, 2^8445542400 is an apocalyptic number.

8445542400 is a gapful number since it is divisible by the number (80) 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 8445542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15846121200).

8445542400 is an abundant number, since it is smaller than the sum of its proper divisors (23246700000).

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

8445542400 is a wasteful number, since it uses less digits than its factorization.

8445542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 8445542400 is about 91899.6322081868. The cubic root of 8445542400 is about 2036.4598346639.

Adding to 8445542400 its reverse (42455448), we get a palindrome (8487997848).

The spelling of 8445542400 in words is "eight billion, four hundred forty-five million, five hundred forty-two thousand, four hundred".