4114052400 has 240 divisors, whose sum is σ = 13517349120. Its totient is φ = 1069286400.

The previous prime is 4114052357. The next prime is 4114052401. The reversal of 4114052400 is 42504114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (4114052401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9286579 + ... + 9287021.

It is an arithmetic number, because the mean of its divisors is an integer number (56322288).

Almost surely, 2^4114052400 is an apocalyptic number.

4114052400 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 4114052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6758674560).

4114052400 is an abundant number, since it is smaller than the sum of its proper divisors (9403296720).

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

4114052400 is a wasteful number, since it uses less digits than its factorization.

4114052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4114052400 is about 64140.8793204459. The cubic root of 4114052400 is about 1602.3471281016.

Adding to 4114052400 its reverse (42504114), we get a palindrome (4156556514).

The spelling of 4114052400 in words is "four billion, one hundred fourteen million, fifty-two thousand, four hundred".