4197402000 has 960 divisors, whose sum is σ = 17924924160. Its totient is φ = 903168000.

The previous prime is 4197401993. The next prime is 4197402073. The reversal of 4197402000 is 2047914.

It is a happy number.

4197402000 is a `hidden beast` number, since 419 + 7 + 40 + 200 + 0 = 666.

4197402000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 97613979 + ... + 97614021.

It is an arithmetic number, because the mean of its divisors is an integer number (18671796).

Almost surely, 2^4197402000 is an apocalyptic number.

4197402000 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 4197402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8962462080).

4197402000 is an abundant number, since it is smaller than the sum of its proper divisors (13727522160).

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

4197402000 is a wasteful number, since it uses less digits than its factorization.

4197402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4197402000 is about 64787.3598782972. The cubic root of 4197402000 is about 1613.0959037860.

Adding to 4197402000 its reverse (2047914), we get a palindrome (4199449914).

The spelling of 4197402000 in words is "four billion, one hundred ninety-seven million, four hundred two thousand".