4103199360 has 384 divisors, whose sum is σ = 15681753360. Its totient is φ = 982056960.

The previous prime is 4103199349. The next prime is 4103199367. The reversal of 4103199360 is 639913014.

4103199360 is a `hidden beast` number, since 4 + 103 + 199 + 360 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1745902656 + 2357296704 = 41784^2 + 48552^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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 (4103199367) 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, 2769820 + ... + 2771300.

Almost surely, 2^4103199360 is an apocalyptic number.

4103199360 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 4103199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7840876680).

4103199360 is an abundant number, since it is smaller than the sum of its proper divisors (11578554000).

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

4103199360 is a wasteful number, since it uses less digits than its factorization.

4103199360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 4103199360 is about 64056.2203068523. The cubic root of 4103199360 is about 1600.9368679836.

The spelling of 4103199360 in words is "four billion, one hundred three million, one hundred ninety-nine thousand, three hundred sixty".