1426834450080 has 288 divisors, whose sum is σ = 5552065877904. Its totient is φ = 330560667648.

The previous prime is 1426834450049. The next prime is 1426834450091. The reversal of 1426834450080 is 800544386241.

1426834450080 is a `hidden beast` number, since 1 + 4 + 2 + 68 + 3 + 4 + 4 + 500 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 768574835856 + 658259614224 = 876684^2 + 811332^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1923519 + ... + 2559998.

Almost surely, 2^{1426834450080} is an apocalyptic number.

1426834450080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1426834450080 is an abundant number, since it is smaller than the sum of its proper divisors (4125231427824).

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

1426834450080 is a wasteful number, since it uses less digits than its factorization.

1426834450080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4483568 (or 4483557 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 1426834450080 in words is "one trillion, four hundred twenty-six billion, eight hundred thirty-four million, four hundred fifty thousand, eighty".