424342872576 has 800 divisors, whose sum is σ = 1542435206400. Its totient is φ = 115880067072.

The previous prime is 424342872557. The next prime is 424342872587. The reversal of 424342872576 is 675278243424.

424342872576 is a `hidden beast` number, since 4 + 2 + 43 + 4 + 28 + 7 + 2 + 576 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 327171960 + ... + 327173256.

It is an arithmetic number, because the mean of its divisors is an integer number (1928044008).

Almost surely, 2^424342872576 is an apocalyptic number.

424342872576 is a gapful number since it is divisible by the number (46) 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 424342872576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771217603200).

424342872576 is an abundant number, since it is smaller than the sum of its proper divisors (1118092333824).

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

424342872576 is an equidigital number, since it uses as much as digits as its factorization.

424342872576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1332 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 54.

The spelling of 424342872576 in words is "four hundred twenty-four billion, three hundred forty-two million, eight hundred seventy-two thousand, five hundred seventy-six".