426834277761024 has 1785 divisors, whose sum is σ = 1518015566078349. Its totient is φ = 119953427005440.

The previous prime is 426834277760939. The next prime is 426834277761121. The reversal of 426834277761024 is 420167772438624.

The square root of 426834277761024 is 20659968.

It is a perfect power (a square), and thus also a powerful number.

426834277761024 is a `hidden beast` number, since 4 + 2 + 6 + 8 + 3 + 4 + 2 + 7 + 7 + 7 + 610 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13879856922624 + 412954420838400 = 3725568^2 + 20321280^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 6997283241954 + ... + 6997283242014.

Almost surely, 2^{426834277761024} is an apocalyptic number.

426834277761024 is the 20659968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426834277761024

426834277761024 is an abundant number, since it is smaller than the sum of its proper divisors (1091181288317325).

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

426834277761024 is an frugal number, since it uses more digits than its factorization.

426834277761024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 63.

The spelling of 426834277761024 in words is "four hundred twenty-six trillion, eight hundred thirty-four billion, two hundred seventy-seven million, seven hundred sixty-one thousand, twenty-four".