426109933800 has 96 divisors (see below), whose sum is σ = 1467712012800. Its totient is φ = 113629314240.

The previous prime is 426109933759. The next prime is 426109933829. The reversal of 426109933800 is 8339901624.

It is a happy number.

426109933800 is a `hidden beast` number, since 4 + 261 + 0 + 9 + 9 + 3 + 380 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 39449224 + ... + 39460023.

It is an arithmetic number, because the mean of its divisors is an integer number (15288666800).

Almost surely, 2^426109933800 is an apocalyptic number.

426109933800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426109933800 is an abundant number, since it is smaller than the sum of its proper divisors (1041602079000).

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

426109933800 is a wasteful number, since it uses less digits than its factorization.

426109933800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78909272 (or 78909257 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 426109933800 in words is "four hundred twenty-six billion, one hundred nine million, nine hundred thirty-three thousand, eight hundred".