426361335911280 has 3840 divisors, whose sum is σ = 1953490825728000. Its totient is φ = 80691320586240.

The previous prime is 426361335911263. The next prime is 426361335911321. The reversal of 426361335911280 is 82119533163624.

426361335911280 is a `hidden beast` number, since 4 + 2 + 6 + 3 + 6 + 1 + 3 + 359 + 1 + 1 + 280 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 949579812496 + ... + 949579812944.

It is an arithmetic number, because the mean of its divisors is an integer number (508721569200).

Almost surely, 2^{426361335911280} is an apocalyptic number.

426361335911280 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 426361335911280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976745412864000).

426361335911280 is an abundant number, since it is smaller than the sum of its proper divisors (1527129489816720).

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

426361335911280 is a wasteful number, since it uses less digits than its factorization.

426361335911280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 426361335911280 in words is "four hundred twenty-six trillion, three hundred sixty-one billion, three hundred thirty-five million, nine hundred eleven thousand, two hundred eighty".