4166963400 has 96 divisors (see below), whose sum is σ = 12952028160. Its totient is φ = 1108227840.

The previous prime is 4166963399. The next prime is 4166963401. The reversal of 4166963400 is 43696614.

4166963400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4166963399) and next prime (4166963401).

It is not an unprimeable number, because it can be changed into a prime (4166963401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220734 + ... + 238866.

It is an arithmetic number, because the mean of its divisors is an integer number (134916960).

Almost surely, 2^4166963400 is an apocalyptic number.

4166963400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4166963400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6476014080).

4166963400 is an abundant number, since it is smaller than the sum of its proper divisors (8785064760).

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

4166963400 is a wasteful number, since it uses less digits than its factorization.

4166963400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18535 (or 18526 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 4166963400 is about 64552.0208823860. The cubic root of 4166963400 is about 1609.1871724871.

The spelling of 4166963400 in words is "four billion, one hundred sixty-six million, nine hundred sixty-three thousand, four hundred".