4081214820 has 192 divisors, whose sum is σ = 12802406400. Its totient is φ = 965376000.

The previous prime is 4081214807. The next prime is 4081214831. The reversal of 4081214820 is 284121804.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 4863961 + ... + 4864799.

It is an arithmetic number, because the mean of its divisors is an integer number (66679200).

Almost surely, 2^4081214820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4081214820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6401203200).

4081214820 is an abundant number, since it is smaller than the sum of its proper divisors (8721191580).

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

4081214820 is a wasteful number, since it uses less digits than its factorization.

4081214820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 4081214820 is about 63884.3863553529. The cubic root of 4081214820 is about 1598.0725253124.

The spelling of 4081214820 in words is "four billion, eighty-one million, two hundred fourteen thousand, eight hundred twenty".