4121000000 has 196 divisors, whose sum is σ = 11042905524. Its totient is φ = 1516800000.

The previous prime is 4120999979. The next prime is 4121000011. The reversal of 4121000000 is 1214.

It can be written as a sum of positive squares in 14 ways, for example, as 1615396864 + 2505603136 = 40192^2 + 50056^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 12999842 + ... + 13000158.

Almost surely, 2^4121000000 is an apocalyptic number.

4121000000 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 4121000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5521452762).

4121000000 is an abundant number, since it is smaller than the sum of its proper divisors (6921905524).

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

4121000000 is an frugal number, since it uses more digits than its factorization.

4121000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 4121000000 is about 64195.0153828161. The cubic root of 4121000000 is about 1603.2486079607.

Adding to 4121000000 its reverse (1214), we get a palindrome (4121001214).

It can be divided in two parts, 4 and 121000000, that multiplied together give a square (484000000 = 22000²).

The spelling of 4121000000 in words is "four billion, one hundred twenty-one million", and thus it is an aban number.