1426020336000 has 1024 divisors, whose sum is σ = 5839729459200. Its totient is φ = 339655680000.

The previous prime is 1426020335981. The next prime is 1426020336007. The reversal of 1426020336000 is 6330206241.

1426020336000 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 0 + 20 + 33 + 600 + 0 = 666.

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 (1426020336007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 174091905 + ... + 174100095.

It is an arithmetic number, because the mean of its divisors is an integer number (5702860800).

Almost surely, 2^{1426020336000} is an apocalyptic number.

1426020336000 is a gapful number since it is divisible by the number (10) 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 1426020336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919864729600).

1426020336000 is an abundant number, since it is smaller than the sum of its proper divisors (4413709123200).

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

1426020336000 is a wasteful number, since it uses less digits than its factorization.

1426020336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8273 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 1426020336000 in words is "one trillion, four hundred twenty-six billion, twenty million, three hundred thirty-six thousand".