4109416704 has 54 divisors (see below), whose sum is σ = 11848468086. Its totient is φ = 1369804800.

The previous prime is 4109416697. The next prime is 4109416723. The reversal of 4109416704 is 4076149014.

It can be written as a sum of positive squares in only one way, i.e., 4038856704 + 70560000 = 63552^2 + 8400^2 .

It is a super-2 number, since 2×4109416704² = 33774611294228447232, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 889497 + ... + 894104.

Almost surely, 2^4109416704 is an apocalyptic number.

It is an amenable number.

4109416704 is an abundant number, since it is smaller than the sum of its proper divisors (7739051382).

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

4109416704 is a wasteful number, since it uses less digits than its factorization.

4109416704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783623 (or 1783606 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4109416704 is about 64104.7323058134. The cubic root of 4109416704 is about 1601.7450626973.

The spelling of 4109416704 in words is "four billion, one hundred nine million, four hundred sixteen thousand, seven hundred four".