4102983360 has 336 divisors, whose sum is σ = 16209702912. Its totient is φ = 933120000.

The previous prime is 4102983359. The next prime is 4102983361. The reversal of 4102983360 is 633892014.

4102983360 is a `hidden beast` number, since 4 + 1 + 0 + 298 + 3 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (4102983359) and next prime (4102983361).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4102983361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5462985 + ... + 5463735.

Almost surely, 2^4102983360 is an apocalyptic number.

4102983360 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 4102983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8104851456).

4102983360 is an abundant number, since it is smaller than the sum of its proper divisors (12106719552).

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

4102983360 is a wasteful number, since it uses less digits than its factorization.

4102983360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4102983360 is about 64054.5342657333. The cubic root of 4102983360 is about 1600.9087753985.

The spelling of 4102983360 in words is "four billion, one hundred two million, nine hundred eighty-three thousand, three hundred sixty".