1426104000 has 336 divisors, whose sum is σ = 5285049120. Its totient is φ = 366643200.

The previous prime is 1426103993. The next prime is 1426104011. The reversal of 1426104000 is 4016241.

1426104000 is a `hidden beast` number, since 1 + 4 + 261 + 0 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2087659 + ... + 2088341.

Almost surely, 2^1426104000 is an apocalyptic number.

1426104000 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 1426104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642524560).

1426104000 is an abundant number, since it is smaller than the sum of its proper divisors (3858945120).

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

1426104000 is a wasteful number, since it uses less digits than its factorization.

1426104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1426104000 is about 37763.7921824596. The cubic root of 1426104000 is about 1125.5990883225.

The spelling of 1426104000 in words is "one billion, four hundred twenty-six million, one hundred four thousand".