426416011200 has 672 divisors, whose sum is σ = 1624810608640. Its totient is φ = 110014848000.

The previous prime is 426416011199. The next prime is 426416011207. The reversal of 426416011200 is 2110614624.

426416011200 is a `hidden beast` number, since 4 + 2 + 6 + 41 + 601 + 12 + 0 + 0 = 666.

It is a super-2 number, since 2×426416011200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426416011207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108473235 + ... + 108477165.

Almost surely, 2^426416011200 is an apocalyptic number.

426416011200 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 426416011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812405304320).

426416011200 is an abundant number, since it is smaller than the sum of its proper divisors (1198394597440).

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

426416011200 is an equidigital number, since it uses as much as digits as its factorization.

426416011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005 (or 3972 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 426416011200 its reverse (2110614624), we get a palindrome (428526625824).

The spelling of 426416011200 in words is "four hundred twenty-six billion, four hundred sixteen million, eleven thousand, two hundred".