427504435200 has 552 divisors, whose sum is σ = 1581084647360. Its totient is φ = 113246208000.

The previous prime is 427504435133. The next prime is 427504435231. The reversal of 427504435200 is 2534405724.

427504435200 is a `hidden beast` number, since 4 + 2 + 7 + 5 + 0 + 443 + 5 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 2831155125 + ... + 2831155275.

Almost surely, 2^427504435200 is an apocalyptic number.

427504435200 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 427504435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790542323680).

427504435200 is an abundant number, since it is smaller than the sum of its proper divisors (1153580212160).

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

427504435200 is an frugal number, since it uses more digits than its factorization.

427504435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 427504435200 in words is "four hundred twenty-seven billion, five hundred four million, four hundred thirty-five thousand, two hundred".