4134054400 has 480 divisors, whose sum is σ = 12725792640. Its totient is φ = 1300561920.

The previous prime is 4134054391. The next prime is 4134054427. The reversal of 4134054400 is 44504314.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 96140779 + ... + 96140821.

It is an arithmetic number, because the mean of its divisors is an integer number (26512068).

Almost surely, 2^4134054400 is an apocalyptic number.

4134054400 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 4134054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6362896320).

4134054400 is an abundant number, since it is smaller than the sum of its proper divisors (8591738240).

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

4134054400 is a wasteful number, since it uses less digits than its factorization.

4134054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 4134054400 is about 64296.6126634988. The cubic root of 4134054400 is about 1604.9397336998.

Adding to 4134054400 its reverse (44504314), we get a palindrome (4178558714).

The spelling of 4134054400 in words is "four billion, one hundred thirty-four million, fifty-four thousand, four hundred".