42827457024000 has 832 divisors, whose sum is σ = 172742890095360. Its totient is φ = 10382376960000.

The previous prime is 42827457023903. The next prime is 42827457024059. The reversal of 42827457024000 is 42075472824.

42827457024000 is a `hidden beast` number, since 4 + 2 + 8 + 2 + 74 + 570 + 2 + 4 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×42827457024000³ (a number of 42 digits) contains 333 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 63 ways as a sum of consecutive naturals, for example, 151923180 + ... + 152204820.

It is an arithmetic number, because the mean of its divisors is an integer number (207623665980).

Almost surely, 2^{42827457024000} is an apocalyptic number.

42827457024000 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 42827457024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86371445047680).

42827457024000 is an abundant number, since it is smaller than the sum of its proper divisors (129915433071360).

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

42827457024000 is a wasteful number, since it uses less digits than its factorization.

42827457024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281700 (or 281662 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 45.

The spelling of 42827457024000 in words is "forty-two trillion, eight hundred twenty-seven billion, four hundred fifty-seven million, twenty-four thousand".