4115054400 has 168 divisors, whose sum is σ = 13555248480. Its totient is φ = 1092925440.

The previous prime is 4115054393. The next prime is 4115054401. The reversal of 4115054400 is 44505114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4115054401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1289607 + ... + 1292793.

Almost surely, 2^4115054400 is an apocalyptic number.

4115054400 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 4115054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6777624240).

4115054400 is an abundant number, since it is smaller than the sum of its proper divisors (9440194080).

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

4115054400 is a wasteful number, since it uses less digits than its factorization.

4115054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 4115054400 is about 64148.6897761755. The cubic root of 4115054400 is about 1602.4772043489.

Adding to 4115054400 its reverse (44505114), we get a palindrome (4159559514).

The spelling of 4115054400 in words is "four billion, one hundred fifteen million, fifty-four thousand, four hundred".