4113102400 has 336 divisors, whose sum is σ = 11939503680. Its totient is φ = 1377894400.

The previous prime is 4113102353. The next prime is 4113102421. The reversal of 4113102400 is 42013114.

It is a super-2 number, since 2×4113102400² = 33835222705771520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17652684 + ... + 17652916.

Almost surely, 2^4113102400 is an apocalyptic number.

4113102400 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 4113102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5969751840).

4113102400 is an abundant number, since it is smaller than the sum of its proper divisors (7826401280).

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

4113102400 is a wasteful number, since it uses less digits than its factorization.

4113102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4113102400 is about 64133.4733193205. The cubic root of 4113102400 is about 1602.2237828118.

Adding to 4113102400 its reverse (42013114), we get a palindrome (4155115514).

The spelling of 4113102400 in words is "four billion, one hundred thirteen million, one hundred two thousand, four hundred".