4165420640 has 48 divisors (see below), whose sum is σ = 9867759552. Its totient is φ = 1661604864.

The previous prime is 4165420639. The next prime is 4165420643. The reversal of 4165420640 is 460245614.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4165420597 and 4165420606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4165420643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23252 + ... + 94188.

It is an arithmetic number, because the mean of its divisors is an integer number (205578324).

Almost surely, 2^4165420640 is an apocalyptic number.

4165420640 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 4165420640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4933879776).

4165420640 is an abundant number, since it is smaller than the sum of its proper divisors (5702338912).

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

4165420640 is a wasteful number, since it uses less digits than its factorization.

4165420640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71319 (or 71311 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 4165420640 is about 64540.0700340494. The cubic root of 4165420640 is about 1608.9885549481.

The spelling of 4165420640 in words is "four billion, one hundred sixty-five million, four hundred twenty thousand, six hundred forty".