4116643400 has 24 divisors (see below), whose sum is σ = 9571196370. Its totient is φ = 1646657280.

The previous prime is 4116643397. The next prime is 4116643423. The reversal of 4116643400 is 43466114.

It can be written as a sum of positive squares in 3 ways, for example, as 4010182276 + 106461124 = 63326^2 + 10318^2 .

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, 10291409 + ... + 10291808.

Almost surely, 2^4116643400 is an apocalyptic number.

4116643400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4116643400 is an abundant number, since it is smaller than the sum of its proper divisors (5454552970).

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

4116643400 is a wasteful number, since it uses less digits than its factorization.

4116643400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20583233 (or 20583224 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 4116643400 is about 64161.0738688186. The cubic root of 4116643400 is about 1602.6834396620.

The spelling of 4116643400 in words is "four billion, one hundred sixteen million, six hundred forty-three thousand, four hundred".