427375872000 has 2304 divisors, whose sum is σ = 2011925260800. Its totient is φ = 87588864000.

The previous prime is 427375871987. The next prime is 427375872041. The reversal of 427375872000 is 278573724.

427375872000 is a `hidden beast` number, since 42 + 7 + 3 + 7 + 587 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 5854463964 + ... + 5854464036.

It is an arithmetic number, because the mean of its divisors is an integer number (873231450).

Almost surely, 2^427375872000 is an apocalyptic number.

427375872000 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 427375872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005962630400).

427375872000 is an abundant number, since it is smaller than the sum of its proper divisors (1584549388800).

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

427375872000 is a wasteful number, since it uses less digits than its factorization.

427375872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 427375872000 in words is "four hundred twenty-seven billion, three hundred seventy-five million, eight hundred seventy-two thousand".