4165782480 has 160 divisors (see below), whose sum is σ = 14811909120. Its totient is φ = 1075023360.

The previous prime is 4165782469. The next prime is 4165782557. The reversal of 4165782480 is 842875614.

4165782480 is a `hidden beast` number, since 4 + 165 + 7 + 8 + 2 + 480 = 666.

4165782480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35854 + ... + 98066.

It is an arithmetic number, because the mean of its divisors is an integer number (92574432).

Almost surely, 2^4165782480 is an apocalyptic number.

4165782480 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 4165782480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405954560).

4165782480 is an abundant number, since it is smaller than the sum of its proper divisors (10646126640).

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

4165782480 is a wasteful number, since it uses less digits than its factorization.

4165782480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62266 (or 62254 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 4165782480 is about 64542.8731929405. The cubic root of 4165782480 is about 1609.0351432451.

The spelling of 4165782480 in words is "four billion, one hundred sixty-five million, seven hundred eighty-two thousand, four hundred eighty".