4100425200 has 240 divisors, whose sum is σ = 14653174240. Its totient is φ = 1089054720.

The previous prime is 4100425171. The next prime is 4100425201. The reversal of 4100425200 is 25240014.

4100425200 is a `hidden beast` number, since 4 + 100 + 42 + 520 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100425201) 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 47 ways as a sum of consecutive naturals, for example, 3379794 + ... + 3381006.

Almost surely, 2^4100425200 is an apocalyptic number.

4100425200 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 4100425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7326587120).

4100425200 is an abundant number, since it is smaller than the sum of its proper divisors (10552749040).

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

4100425200 is a wasteful number, since it uses less digits than its factorization.

4100425200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4100425200 is about 64034.5625424270. The cubic root of 4100425200 is about 1600.5759905386.

Adding to 4100425200 its reverse (25240014), we get a palindrome (4125665214).

It can be divided in two parts, 4100425 and 200, that added together give a 4-th power (4100625 = 45⁴).

The spelling of 4100425200 in words is "four billion, one hundred million, four hundred twenty-five thousand, two hundred".