4115479104 has 273 divisors, whose sum is σ = 13464846451. Its totient is φ = 1247114880.

The previous prime is 4115478937. The next prime is 4115479111. The reversal of 4115479104 is 4019745114.

The square root of 4115479104 is 64152.

It is a perfect power (a square), and thus also a powerful number.

4115479104 is a `hidden beast` number, since 4 + 1 + 1 + 547 + 9 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 374134459 + ... + 374134469.

Almost surely, 2^4115479104 is an apocalyptic number.

4115479104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4115479104 is the 64152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4115479104

4115479104 is an abundant number, since it is smaller than the sum of its proper divisors (9349367347).

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

4115479104 is an frugal number, since it uses more digits than its factorization.

4115479104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The cubic root of 4115479104 is about 1602.5323316126.

Multiplying 4115479104 by its sum of digits (36), we get a square (148157247744 = 384912²).

4115479104 divided by its sum of digits (36) gives a square (114318864 = 10692²).

The spelling of 4115479104 in words is "four billion, one hundred fifteen million, four hundred seventy-nine thousand, one hundred four".