430026226560 has 1920 divisors, whose sum is σ = 1901797539840. Its totient is φ = 92177326080.

The previous prime is 430026226541. The next prime is 430026226561. The reversal of 430026226560 is 65622620034.

430026226560 is a `hidden beast` number, since 4 + 30 + 0 + 2 + 62 + 2 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430026226561) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3386033217 + ... + 3386033343.

It is an arithmetic number, because the mean of its divisors is an integer number (990519552).

Almost surely, 2^430026226560 is an apocalyptic number.

430026226560 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 430026226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950898769920).

430026226560 is an abundant number, since it is smaller than the sum of its proper divisors (1471771313280).

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

430026226560 is a wasteful number, since it uses less digits than its factorization.

430026226560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 430026226560 its reverse (65622620034), we get a palindrome (495648846594).

The spelling of 430026226560 in words is "four hundred thirty billion, twenty-six million, two hundred twenty-six thousand, five hundred sixty".