4197697990800 has 240 divisors, whose sum is σ = 14158266312960. Its totient is φ = 1060177144320.

The previous prime is 4197697990793. The next prime is 4197697990883. The reversal of 4197697990800 is 80997967914.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89056039 + ... + 89103161.

It is an arithmetic number, because the mean of its divisors is an integer number (58992776304).

Almost surely, 2^{4197697990800} is an apocalyptic number.

4197697990800 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 4197697990800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7079133156480).

4197697990800 is an abundant number, since it is smaller than the sum of its proper divisors (9960568322160).

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

4197697990800 is a wasteful number, since it uses less digits than its factorization.

4197697990800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51070 (or 51059 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 69.

The spelling of 4197697990800 in words is "four trillion, one hundred ninety-seven billion, six hundred ninety-seven million, nine hundred ninety thousand, eight hundred".