427219084800 has 1080 divisors, whose sum is σ = 1680108312168. Its totient is φ = 103307673600.

The previous prime is 427219084777. The next prime is 427219084801. The reversal of 427219084800 is 8480912724.

427219084800 is a `hidden beast` number, since 427 + 219 + 0 + 8 + 4 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×427219084800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427219084801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1882022287 + ... + 1882022513.

Almost surely, 2^427219084800 is an apocalyptic number.

427219084800 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 427219084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840054156084).

427219084800 is an abundant number, since it is smaller than the sum of its proper divisors (1252889227368).

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

427219084800 is a wasteful number, since it uses less digits than its factorization.

427219084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 427219084800 in words is "four hundred twenty-seven billion, two hundred nineteen million, eighty-four thousand, eight hundred".