426405306404 has 192 divisors, whose sum is σ = 1009489969152. Its totient is φ = 152649446400.

The previous prime is 426405306403. The next prime is 426405306433. The reversal of 426405306404 is 404603504624.

It is a super-2 number, since 2×426405306404² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (426405306403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30078662 + ... + 30092834.

It is an arithmetic number, because the mean of its divisors is an integer number (5257760256).

Almost surely, 2^426405306404 is an apocalyptic number.

426405306404 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 426405306404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504744984576).

426405306404 is an abundant number, since it is smaller than the sum of its proper divisors (583084662748).

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

426405306404 is a wasteful number, since it uses less digits than its factorization.

426405306404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14386 (or 14384 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 38.

The spelling of 426405306404 in words is "four hundred twenty-six billion, four hundred five million, three hundred six thousand, four hundred four".