4102887360 has 672 divisors, whose sum is σ = 16331915520. Its totient is φ = 869806080.

The previous prime is 4102887353. The next prime is 4102887367. The reversal of 4102887360 is 637882014.

It is an interprime number because it is at equal distance from previous prime (4102887353) and next prime (4102887367).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102887367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215941431 + ... + 215941449.

Almost surely, 2^4102887360 is an apocalyptic number.

4102887360 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 4102887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8165957760).

4102887360 is an abundant number, since it is smaller than the sum of its proper divisors (12229028160).

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

4102887360 is a wasteful number, since it uses less digits than its factorization.

4102887360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 4102887360 is about 64053.7848998793. The cubic root of 4102887360 is about 1600.8962894886.

The spelling of 4102887360 in words is "four billion, one hundred two million, eight hundred eighty-seven thousand, three hundred sixty".