427931023104 has 576 divisors, whose sum is σ = 1425179817600. Its totient is φ = 125745758208.

The previous prime is 427931023073. The next prime is 427931023141. The reversal of 427931023104 is 401320139724.

It is a happy number.

427931023104 is a `hidden beast` number, since 4 + 27 + 9 + 310 + 2 + 310 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 252764082 + ... + 252765774.

Almost surely, 2^427931023104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427931023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712589908800).

427931023104 is an abundant number, since it is smaller than the sum of its proper divisors (997248794496).

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

427931023104 is a wasteful number, since it uses less digits than its factorization.

427931023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 427931023104 in words is "four hundred twenty-seven billion, nine hundred thirty-one million, twenty-three thousand, one hundred four".