4121821440 has 324 divisors, whose sum is σ = 15680695212. Its totient is φ = 998891520.

The previous prime is 4121821399. The next prime is 4121821453. The reversal of 4121821440 is 441281214.

4121821440 is a `hidden beast` number, since 4 + 1 + 218 + 2 + 1 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1106493696 + 3015327744 = 33264^2 + 54912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1392442 + ... + 1395398.

Almost surely, 2^4121821440 is an apocalyptic number.

4121821440 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 4121821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7840347606).

4121821440 is an abundant number, since it is smaller than the sum of its proper divisors (11558873772).

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

4121821440 is a wasteful number, since it uses less digits than its factorization.

4121821440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4121821440 is about 64201.4130685610. The cubic root of 4121821440 is about 1603.3551262040.

The spelling of 4121821440 in words is "four billion, one hundred twenty-one million, eight hundred twenty-one thousand, four hundred forty".