4121003400 has 192 divisors, whose sum is σ = 13027737600. Its totient is φ = 1077423360.

The previous prime is 4121003399. The next prime is 4121003431. The reversal of 4121003400 is 43001214.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4121003400.

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, 10759609 + ... + 10759991.

It is an arithmetic number, because the mean of its divisors is an integer number (67852800).

Almost surely, 2^4121003400 is an apocalyptic number.

4121003400 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 4121003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6513868800).

4121003400 is an abundant number, since it is smaller than the sum of its proper divisors (8906734200).

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

4121003400 is a wasteful number, since it uses less digits than its factorization.

4121003400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4121003400 is about 64195.0418646176. The cubic root of 4121003400 is about 1603.2490488767.

Adding to 4121003400 its reverse (43001214), we get a palindrome (4164004614).

The spelling of 4121003400 in words is "four billion, one hundred twenty-one million, three thousand, four hundred".