426045054600 has 576 divisors, whose sum is σ = 1656958680000. Its totient is φ = 96957235200.

The previous prime is 426045054569. The next prime is 426045054607. The reversal of 426045054600 is 6450540624.

426045054600 is a `hidden beast` number, since 4 + 2 + 6 + 0 + 45 + 0 + 5 + 4 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (426045054607) 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 143 ways as a sum of consecutive naturals, for example, 151131991 + ... + 151134809.

It is an arithmetic number, because the mean of its divisors is an integer number (2876664375).

Almost surely, 2^426045054600 is an apocalyptic number.

426045054600 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 426045054600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828479340000).

426045054600 is an abundant number, since it is smaller than the sum of its proper divisors (1230913625400).

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

426045054600 is a wasteful number, since it uses less digits than its factorization.

426045054600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 426045054600 in words is "four hundred twenty-six billion, forty-five million, fifty-four thousand, six hundred".