1426489528320 has 1248 divisors, whose sum is σ = 5486958247680. Its totient is φ = 341531688960.

The previous prime is 1426489528319. The next prime is 1426489528417. The reversal of 1426489528320 is 238259846241.

1426489528320 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 4 + 89 + 528 + 32 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5040598899 + ... + 5040599181.

It is an arithmetic number, because the mean of its divisors is an integer number (4396601160).

Almost surely, 2^{1426489528320} is an apocalyptic number.

1426489528320 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 1426489528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743479123840).

1426489528320 is an abundant number, since it is smaller than the sum of its proper divisors (4060468719360).

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

1426489528320 is a wasteful number, since it uses less digits than its factorization.

1426489528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 1426489528320 in words is "one trillion, four hundred twenty-six billion, four hundred eighty-nine million, five hundred twenty-eight thousand, three hundred twenty".