4125254400 has 216 divisors, whose sum is σ = 15127521360. Its totient is φ = 1100021760.

The previous prime is 4125254389. The next prime is 4125254443. The reversal of 4125254400 is 44525214.

4125254400 is a `hidden beast` number, since 4 + 1 + 2 + 5 + 254 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160864 + ... + 184736.

Almost surely, 2^4125254400 is an apocalyptic number.

4125254400 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 4125254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7563760680).

4125254400 is an abundant number, since it is smaller than the sum of its proper divisors (11002266960).

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

4125254400 is a wasteful number, since it uses less digits than its factorization.

4125254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23908 (or 23883 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 4125254400 is about 64228.1433641048. The cubic root of 4125254400 is about 1603.8001338852.

Adding to 4125254400 its reverse (44525214), we get a palindrome (4169779614).

The spelling of 4125254400 in words is "four billion, one hundred twenty-five million, two hundred fifty-four thousand, four hundred".