4081200000 has 384 divisors, whose sum is σ = 14342832000. Its totient is φ = 1025280000.

The previous prime is 4081199999. The next prime is 4081200001. The reversal of 4081200000 is 21804.

It is an interprime number because it is at equal distance from previous prime (4081199999) and next prime (4081200001).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4081200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22799911 + ... + 22800089.

It is an arithmetic number, because the mean of its divisors is an integer number (37351125).

Almost surely, 2^4081200000 is an apocalyptic number.

4081200000 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 4081200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7171416000).

4081200000 is an abundant number, since it is smaller than the sum of its proper divisors (10261632000).

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

4081200000 is an equidigital number, since it uses as much as digits as its factorization.

4081200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4081200000 is about 63884.2703644645. The cubic root of 4081200000 is about 1598.0705909649.

Adding to 4081200000 its reverse (21804), we get a palindrome (4081221804).

The spelling of 4081200000 in words is "four billion, eighty-one million, two hundred thousand".