4087121220 has 384 divisors, whose sum is σ = 16160686080. Its totient is φ = 834209280.

The previous prime is 4087121173. The next prime is 4087121231. The reversal of 4087121220 is 221217804.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1521999 + ... + 1524681.

It is an arithmetic number, because the mean of its divisors is an integer number (42085120).

Almost surely, 2^4087121220 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 4087121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8080343040).

4087121220 is an abundant number, since it is smaller than the sum of its proper divisors (12073564860).

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

4087121220 is a wasteful number, since it uses less digits than its factorization.

4087121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 4087121220 is about 63930.5969000759. The cubic root of 4087121220 is about 1598.8430725050.

The spelling of 4087121220 in words is "four billion, eighty-seven million, one hundred twenty-one thousand, two hundred twenty".