427916805120 has 880 divisors, whose sum is σ = 1762992473088. Its totient is φ = 97223639040.

The previous prime is 427916805119. The next prime is 427916805163. The reversal of 427916805120 is 21508619724.

427916805120 is a `hidden beast` number, since 4 + 2 + 79 + 1 + 68 + 0 + 512 + 0 = 666.

It is a super-2 number, since 2×427916805120² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 647377590 + ... + 647378250.

Almost surely, 2^427916805120 is an apocalyptic number.

427916805120 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 427916805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881496236544).

427916805120 is an abundant number, since it is smaller than the sum of its proper divisors (1335075667968).

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

427916805120 is a wasteful number, since it uses less digits than its factorization.

427916805120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 427916805120 in words is "four hundred twenty-seven billion, nine hundred sixteen million, eight hundred five thousand, one hundred twenty".