1426083904800 has 576 divisors, whose sum is σ = 5308760217600. Its totient is φ = 369310233600.

The previous prime is 1426083904771. The next prime is 1426083904801. The reversal of 1426083904800 is 84093806241.

It is a happy number.

1426083904800 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 0 + 83 + 90 + 480 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1426083904801) 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 95 ways as a sum of consecutive naturals, for example, 102744261 + ... + 102758139.

It is an arithmetic number, because the mean of its divisors is an integer number (9216597600).

Almost surely, 2^{1426083904800} is an apocalyptic number.

1426083904800 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 1426083904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654380108800).

1426083904800 is an abundant number, since it is smaller than the sum of its proper divisors (3882676312800).

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

1426083904800 is a wasteful number, since it uses less digits than its factorization.

1426083904800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14046 (or 14027 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1426083904800 in words is "one trillion, four hundred twenty-six billion, eighty-three million, nine hundred four thousand, eight hundred".