4197350400 has 528 divisors, whose sum is σ = 15010372608. Its totient is φ = 1032192000.

The previous prime is 4197350321. The next prime is 4197350453. The reversal of 4197350400 is 40537914.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97612779 + ... + 97612821.

It is an arithmetic number, because the mean of its divisors is an integer number (28428736).

Almost surely, 2^4197350400 is an apocalyptic number.

4197350400 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 4197350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7505186304).

4197350400 is an abundant number, since it is smaller than the sum of its proper divisors (10813022208).

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

4197350400 is a wasteful number, since it uses less digits than its factorization.

4197350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 4197350400 is about 64786.9616512458. The cubic root of 4197350400 is about 1613.0892936583.

The spelling of 4197350400 in words is "four billion, one hundred ninety-seven million, three hundred fifty thousand, four hundred".