4141121400 has 288 divisors, whose sum is σ = 15385056960. Its totient is φ = 991595520.

The previous prime is 4141121359. The next prime is 4141121417. The reversal of 4141121400 is 41211414.

4141121400 is a `hidden beast` number, since 4 + 141 + 121 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 863409 + ... + 868191.

Almost surely, 2^4141121400 is an apocalyptic number.

4141121400 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 4141121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7692528480).

4141121400 is an abundant number, since it is smaller than the sum of its proper divisors (11243935560).

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

4141121400 is a wasteful number, since it uses less digits than its factorization.

4141121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4855 (or 4843 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4141121400 is about 64351.5454359878. The cubic root of 4141121400 is about 1605.8537397555.

Adding to 4141121400 its reverse (41211414), we get a palindrome (4182332814).

The spelling of 4141121400 in words is "four billion, one hundred forty-one million, one hundred twenty-one thousand, four hundred".