4101052400 has 180 divisors, whose sum is σ = 10405969392. Its totient is φ = 1552803840.

The previous prime is 4101052399. The next prime is 4101052411. The reversal of 4101052400 is 42501014.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 24557117 + ... + 24557283.

Almost surely, 2^4101052400 is an apocalyptic number.

4101052400 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 4101052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5202984696).

4101052400 is an abundant number, since it is smaller than the sum of its proper divisors (6304916992).

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

4101052400 is a wasteful number, since it uses less digits than its factorization.

4101052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 4101052400 is about 64039.4597104004. The cubic root of 4101052400 is about 1600.6575942774.

Adding to 4101052400 its reverse (42501014), we get a palindrome (4143553414).

The spelling of 4101052400 in words is "four billion, one hundred one million, fifty-two thousand, four hundred".