426304436503440 has 640 divisors, whose sum is σ = 1532265608724480. Its totient is φ = 97064336793600.

The previous prime is 426304436503327. The next prime is 426304436503447. The reversal of 426304436503440 is 44305634403624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 426304436503440.

It is not an unprimeable number, because it can be changed into a prime (426304436503447) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1201970451 + ... + 1202325069.

It is an arithmetic number, because the mean of its divisors is an integer number (2394165013632).

Almost surely, 2^{426304436503440} is an apocalyptic number.

426304436503440 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 426304436503440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766132804362240).

426304436503440 is an abundant number, since it is smaller than the sum of its proper divisors (1105961172221040).

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

426304436503440 is a wasteful number, since it uses less digits than its factorization.

426304436503440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355111 (or 355105 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 48.

The spelling of 426304436503440 in words is "four hundred twenty-six trillion, three hundred four billion, four hundred thirty-six million, five hundred three thousand, four hundred forty".