4165408456 has 64 divisors (see below), whose sum is σ = 8986348800. Its totient is φ = 1790164800.

The previous prime is 4165408451. The next prime is 4165408463. The reversal of 4165408456 is 6548045614.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4165408451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 952531 + ... + 956893.

It is an arithmetic number, because the mean of its divisors is an integer number (140411700).

Almost surely, 2^4165408456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4165408456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493174400).

4165408456 is an abundant number, since it is smaller than the sum of its proper divisors (4820940344).

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

4165408456 is a wasteful number, since it uses less digits than its factorization.

4165408456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4970 (or 4966 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The square root of 4165408456 is about 64539.9756430075. The cubic root of 4165408456 is about 1608.9869861641.

The spelling of 4165408456 in words is "four billion, one hundred sixty-five million, four hundred eight thousand, four hundred fifty-six".