4197999400 has 96 divisors (see below), whose sum is σ = 11539440000. Its totient is φ = 1389669120.

The previous prime is 4197999383. The next prime is 4197999413. The reversal of 4197999400 is 49997914.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11100 + ... + 92299.

It is an arithmetic number, because the mean of its divisors is an integer number (120202500).

Almost surely, 2^4197999400 is an apocalyptic number.

4197999400 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 4197999400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5769720000).

4197999400 is an abundant number, since it is smaller than the sum of its proper divisors (7341440600).

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

4197999400 is a wasteful number, since it uses less digits than its factorization.

4197999400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103451 (or 103442 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 52.

The square root of 4197999400 is about 64791.9701814970. The cubic root of 4197999400 is about 1613.1724287236.

The spelling of 4197999400 in words is "four billion, one hundred ninety-seven million, nine hundred ninety-nine thousand, four hundred".