8427525120400 has 135 divisors (see below), whose sum is σ = 20814444275331. Its totient is φ = 3279065598720.

The previous prime is 8427525120359. The next prime is 8427525120451. The reversal of 8427525120400 is 40215257248.

It is a happy number.

The square root of 8427525120400 is 2903020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 800030069136 + 7627495051264 = 894444^2 + 2761792^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2148232839 + ... + 2148236761.

Almost surely, 2^{8427525120400} is an apocalyptic number.

8427525120400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8427525120400 is the 2903020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8427525120400

8427525120400 is an abundant number, since it is smaller than the sum of its proper divisors (12386919154931).

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

8427525120400 is an frugal number, since it uses more digits than its factorization.

8427525120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7938 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 40.

The spelling of 8427525120400 in words is "eight trillion, four hundred twenty-seven billion, five hundred twenty-five million, one hundred twenty thousand, four hundred".