427258867875840 has 3648 divisors, whose sum is σ = 2077311999813120. Its totient is φ = 81904187473920.

The previous prime is 427258867875839. The next prime is 427258867875883. The reversal of 427258867875840 is 48578768852724.

427258867875840 is a `hidden beast` number, since 4 + 2 + 7 + 25 + 8 + 8 + 6 + 7 + 8 + 7 + 584 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 427258867875840.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 247973805219 + ... + 247973806941.

It is an arithmetic number, because the mean of its divisors is an integer number (569438596440).

Almost surely, 2^{427258867875840} is an apocalyptic number.

427258867875840 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 427258867875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038655999906560).

427258867875840 is an abundant number, since it is smaller than the sum of its proper divisors (1650053131937280).

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

427258867875840 is a wasteful number, since it uses less digits than its factorization.

427258867875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 13487308800, while the sum is 81.

The spelling of 427258867875840 in words is "four hundred twenty-seven trillion, two hundred fifty-eight billion, eight hundred sixty-seven million, eight hundred seventy-five thousand, eight hundred forty".