4141252600 has 96 divisors (see below), whose sum is σ = 9883653120. Its totient is φ = 1612840320.

The previous prime is 4141252567. The next prime is 4141252631. The reversal of 4141252600 is 62521414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3809257 + ... + 3810343.

It is an arithmetic number, because the mean of its divisors is an integer number (102954720).

Almost surely, 2^4141252600 is an apocalyptic number.

4141252600 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 4141252600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4941826560).

4141252600 is an abundant number, since it is smaller than the sum of its proper divisors (5742400520).

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

4141252600 is a wasteful number, since it uses less digits than its factorization.

4141252600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 4141252600 is about 64352.5648284511. The cubic root of 4141252600 is about 1605.8706985907.

The spelling of 4141252600 in words is "four billion, one hundred forty-one million, two hundred fifty-two thousand, six hundred".