427999128480 has 2304 divisors, whose sum is σ = 2044274319360. Its totient is φ = 79486894080.

The previous prime is 427999128449. The next prime is 427999128497. The reversal of 427999128480 is 84821999724.

427999128480 is a `hidden beast` number, since 4 + 27 + 9 + 9 + 9 + 128 + 480 = 666.

It is a super-2 number, since 2×427999128480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5863001724 + ... + 5863001796.

It is an arithmetic number, because the mean of its divisors is an integer number (887271840).

Almost surely, 2^427999128480 is an apocalyptic number.

427999128480 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 427999128480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022137159680).

427999128480 is an abundant number, since it is smaller than the sum of its proper divisors (1616275190880).

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

427999128480 is a wasteful number, since it uses less digits than its factorization.

427999128480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 427999128480 in words is "four hundred twenty-seven billion, nine hundred ninety-nine million, one hundred twenty-eight thousand, four hundred eighty".