4087612000 has 192 divisors, whose sum is σ = 10486869120. Its totient is φ = 1564416000.

The previous prime is 4087611991. The next prime is 4087612019. The reversal of 4087612000 is 2167804.

It is a self number, because there is not a number n which added to its sum of digits gives 4087612000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10507806 + ... + 10508194.

It is an arithmetic number, because the mean of its divisors is an integer number (54619110).

Almost surely, 2^4087612000 is an apocalyptic number.

4087612000 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 4087612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243434560).

4087612000 is an abundant number, since it is smaller than the sum of its proper divisors (6399257120).

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

4087612000 is a wasteful number, since it uses less digits than its factorization.

4087612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 4087612000 is about 63934.4351660355. The cubic root of 4087612000 is about 1598.9070661047.

Adding to 4087612000 its reverse (2167804), we get a palindrome (4089779804).

The spelling of 4087612000 in words is "four billion, eighty-seven million, six hundred twelve thousand".