4121404000 has 384 divisors, whose sum is σ = 12479201280. Its totient is φ = 1306368000.

The previous prime is 4121403983. The next prime is 4121404013. The reversal of 4121404000 is 4041214.

4121404000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32451937 + ... + 32452063.

It is an arithmetic number, because the mean of its divisors is an integer number (32497920).

Almost surely, 2^4121404000 is an apocalyptic number.

4121404000 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 4121404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6239600640).

4121404000 is an abundant number, since it is smaller than the sum of its proper divisors (8357797280).

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

4121404000 is a wasteful number, since it uses less digits than its factorization.

4121404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4121404000 is about 64198.1619674582. The cubic root of 4121404000 is about 1603.3009974514.

Adding to 4121404000 its reverse (4041214), we get a palindrome (4125445214).

The spelling of 4121404000 in words is "four billion, one hundred twenty-one million, four hundred four thousand".