427977432000 has 672 divisors, whose sum is σ = 1671352999680. Its totient is φ = 108111283200.

The previous prime is 427977431993. The next prime is 427977432013. The reversal of 427977432000 is 234779724.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36930207 + ... + 36941793.

It is an arithmetic number, because the mean of its divisors is an integer number (2487132440).

Almost surely, 2^427977432000 is an apocalyptic number.

427977432000 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 427977432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835676499840).

427977432000 is an abundant number, since it is smaller than the sum of its proper divisors (1243375567680).

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

427977432000 is a wasteful number, since it uses less digits than its factorization.

427977432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11648 (or 11616 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 427977432000 in words is "four hundred twenty-seven billion, nine hundred seventy-seven million, four hundred thirty-two thousand".