4121242400 has 72 divisors (see below), whose sum is σ = 10975641264. Its totient is φ = 1498630400.

The previous prime is 4121242369. The next prime is 4121242429. The reversal of 4121242400 is 42421214.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225362 + ... + 242961.

It is an arithmetic number, because the mean of its divisors is an integer number (152439462).

Almost surely, 2^4121242400 is an apocalyptic number.

4121242400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4121242400 is an abundant number, since it is smaller than the sum of its proper divisors (6854398864).

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

4121242400 is a wasteful number, since it uses less digits than its factorization.

4121242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468354 (or 468341 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4121242400 is about 64196.9033521088. The cubic root of 4121242400 is about 1603.2800420660.

Adding to 4121242400 its reverse (42421214), we get a palindrome (4163663614).

The spelling of 4121242400 in words is "four billion, one hundred twenty-one million, two hundred forty-two thousand, four hundred".