4087451160 has 320 divisors, whose sum is σ = 15082562880. Its totient is φ = 986618880.

The previous prime is 4087451149. The next prime is 4087451167. The reversal of 4087451160 is 611547804.

It is a happy number.

4087451160 is a `hidden beast` number, since 4 + 0 + 87 + 4 + 511 + 60 = 666.

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 (4087451167) 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, 2231445 + ... + 2233275.

It is an arithmetic number, because the mean of its divisors is an integer number (47133009).

Almost surely, 2^4087451160 is an apocalyptic number.

4087451160 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 4087451160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7541281440).

4087451160 is an abundant number, since it is smaller than the sum of its proper divisors (10995111720).

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

4087451160 is a wasteful number, since it uses less digits than its factorization.

4087451160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 4087451160 is about 63933.1773025555. The cubic root of 4087451160 is about 1598.8860944807.

Adding to 4087451160 its reverse (611547804), we get a palindrome (4698998964).

The spelling of 4087451160 in words is "four billion, eighty-seven million, four hundred fifty-one thousand, one hundred sixty".