4164456640 has 56 divisors (see below), whose sum is σ = 9946824912. Its totient is φ = 1660707840.

The previous prime is 4164456607. The next prime is 4164456643. The reversal of 4164456640 is 466544614.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4164456593 and 4164456602.

It is not an unprimeable number, because it can be changed into a prime (4164456643) 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, 86262 + ... + 125578.

Almost surely, 2^4164456640 is an apocalyptic number.

4164456640 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 4164456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4973412456).

4164456640 is an abundant number, since it is smaller than the sum of its proper divisors (5782368272).

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

4164456640 is a wasteful number, since it uses less digits than its factorization.

4164456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39665 (or 39655 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The square root of 4164456640 is about 64532.6013732594. The cubic root of 4164456640 is about 1608.8644230560.

The spelling of 4164456640 in words is "four billion, one hundred sixty-four million, four hundred fifty-six thousand, six hundred forty".