4187985120 has 480 divisors, whose sum is σ = 16696199520. Its totient is φ = 979292160.

The previous prime is 4187985079. The next prime is 4187985127. The reversal of 4187985120 is 215897814.

4187985120 is a `hidden beast` number, since 41 + 8 + 7 + 98 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4187985127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4133734 + ... + 4134746.

It is an arithmetic number, because the mean of its divisors is an integer number (34783749).

Almost surely, 2^4187985120 is an apocalyptic number.

4187985120 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 4187985120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8348099760).

4187985120 is an abundant number, since it is smaller than the sum of its proper divisors (12508214400).

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

4187985120 is a wasteful number, since it uses less digits than its factorization.

4187985120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 4187985120 is about 64714.6437833046. The cubic root of 4187985120 is about 1611.8886725367. Note that the first 3 decimals are identical.

The spelling of 4187985120 in words is "four billion, one hundred eighty-seven million, nine hundred eighty-five thousand, one hundred twenty".