4165779456 has 300 divisors, whose sum is σ = 12909411592. Its totient is φ = 1337720832.

The previous prime is 4165779419. The next prime is 4165779463. The reversal of 4165779456 is 6549775614.

4165779456 is a `hidden beast` number, since 4 + 16 + 577 + 9 + 4 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57065436 + ... + 57065508.

Almost surely, 2^4165779456 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 4165779456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6454705796).

4165779456 is an abundant number, since it is smaller than the sum of its proper divisors (8743632136).

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

4165779456 is an frugal number, since it uses more digits than its factorization.

4165779456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 121 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 4165779456 is about 64542.8497666473. The cubic root of 4165779456 is about 1609.0347539046.

The spelling of 4165779456 in words is "four billion, one hundred sixty-five million, seven hundred seventy-nine thousand, four hundred fifty-six".