427803440613120 has 4608 divisors, whose sum is σ = 1973823809126400. Its totient is φ = 86100384153600.

The previous prime is 427803440613083. The next prime is 427803440613139. The reversal of 427803440613120 is 21316044308724.

427803440613120 is a `hidden beast` number, since 4 + 2 + 7 + 8 + 0 + 3 + 4 + 4 + 0 + 613 + 1 + 20 = 666.

It is a super-2 number, since 2×427803440613120² (a number of 30 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 an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 216171520291 + ... + 216171522269.

It is an arithmetic number, because the mean of its divisors is an integer number (428347180800).

Almost surely, 2^{427803440613120} is an apocalyptic number.

427803440613120 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 427803440613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986911904563200).

427803440613120 is an abundant number, since it is smaller than the sum of its proper divisors (1546020368513280).

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

427803440613120 is a wasteful number, since it uses less digits than its factorization.

427803440613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 427803440613120 in words is "four hundred twenty-seven trillion, eight hundred three billion, four hundred forty million, six hundred thirteen thousand, one hundred twenty".