4108397760 has 280 divisors, whose sum is σ = 15088672896. Its totient is φ = 1060024320.

The previous prime is 4108397753. The next prime is 4108397789. The reversal of 4108397760 is 677938014.

4108397760 is a `hidden beast` number, since 410 + 83 + 97 + 76 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 800964 + ... + 806076.

Almost surely, 2^4108397760 is an apocalyptic number.

4108397760 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 4108397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7544336448).

4108397760 is an abundant number, since it is smaller than the sum of its proper divisors (10980275136).

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

4108397760 is a wasteful number, since it uses less digits than its factorization.

4108397760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5173 (or 5154 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 4108397760 is about 64096.7843187160. The cubic root of 4108397760 is about 1601.6126656889.

The spelling of 4108397760 in words is "four billion, one hundred eight million, three hundred ninety-seven thousand, seven hundred sixty".