4087321920 has 504 divisors, whose sum is σ = 15920645832. Its totient is φ = 961044480.

The previous prime is 4087321913. The next prime is 4087321921. The reversal of 4087321920 is 291237804.

It can be written as a sum of positive squares in 4 ways, for example, as 303595776 + 3783726144 = 17424^2 + 61512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4087321921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12893602 + ... + 12893918.

It is an arithmetic number, because the mean of its divisors is an integer number (31588583).

Almost surely, 2^4087321920 is an apocalyptic number.

4087321920 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 4087321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7960322916).

4087321920 is an abundant number, since it is smaller than the sum of its proper divisors (11833323912).

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

4087321920 is a wasteful number, since it uses less digits than its factorization.

4087321920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4087321920 is about 63932.1665517445. The cubic root of 4087321920 is about 1598.8692427224.

The spelling of 4087321920 in words is "four billion, eighty-seven million, three hundred twenty-one thousand, nine hundred twenty".