427404198200 has 768 divisors, whose sum is σ = 1301916672000. Its totient is φ = 127153152000.

The previous prime is 427404198167. The next prime is 427404198203. The reversal of 427404198200 is 2891404724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427404198203) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1458717254 + ... + 1458717546.

It is an arithmetic number, because the mean of its divisors is an integer number (1695204000).

Almost surely, 2^427404198200 is an apocalyptic number.

427404198200 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 427404198200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650958336000).

427404198200 is an abundant number, since it is smaller than the sum of its proper divisors (874512473800).

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

427404198200 is a wasteful number, since it uses less digits than its factorization.

427404198200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 427404198200 in words is "four hundred twenty-seven billion, four hundred four million, one hundred ninety-eight thousand, two hundred".