426405435162200 has 288 divisors, whose sum is σ = 1167388879829760. Its totient is φ = 144175821004800.

The previous prime is 426405435162197. The next prime is 426405435162263. The reversal of 426405435162200 is 2261534504624.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11231945 + ... + 31288455.

It is an arithmetic number, because the mean of its divisors is an integer number (4053433610520).

Almost surely, 2^{426405435162200} is an apocalyptic number.

426405435162200 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 426405435162200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583694439914880).

426405435162200 is an abundant number, since it is smaller than the sum of its proper divisors (740983444667560).

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

426405435162200 is a wasteful number, since it uses less digits than its factorization.

426405435162200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20056607 (or 20056585 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 44.

Adding to 426405435162200 its reverse (2261534504624), we get a palindrome (428666969666824).

The spelling of 426405435162200 in words is "four hundred twenty-six trillion, four hundred five billion, four hundred thirty-five million, one hundred sixty-two thousand, two hundred".