427835447424 has 1280 divisors, whose sum is σ = 1653646325760. Its totient is φ = 107487959040.

The previous prime is 427835447411. The next prime is 427835447441. The reversal of 427835447424 is 424744538724.

427835447424 is a `hidden beast` number, since 4 + 2 + 7 + 8 + 3 + 544 + 74 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 4153742157 + ... + 4153742259.

It is an arithmetic number, because the mean of its divisors is an integer number (1291911192).

Almost surely, 2^427835447424 is an apocalyptic number.

427835447424 is a gapful number since it is divisible by the number (44) 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 427835447424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826823162880).

427835447424 is an abundant number, since it is smaller than the sum of its proper divisors (1225810878336).

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

427835447424 is a wasteful number, since it uses less digits than its factorization.

427835447424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 169 counting only the distinct ones).

The product of its digits is 24084480, while the sum is 54.

The spelling of 427835447424 in words is "four hundred twenty-seven billion, eight hundred thirty-five million, four hundred forty-seven thousand, four hundred twenty-four".