1405984608000 has 2304 divisors, whose sum is σ = 6250346618880. Its totient is φ = 304570368000.

The previous prime is 1405984607899. The next prime is 1405984608019. The reversal of 1405984608000 is 8064895041.

1405984608000 is a `hidden beast` number, since 14 + 0 + 598 + 46 + 0 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13650335949 + ... + 13650336051.

Almost surely, 2^{1405984608000} is an apocalyptic number.

1405984608000 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 1405984608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125173309440).

1405984608000 is an abundant number, since it is smaller than the sum of its proper divisors (4844362010880).

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

1405984608000 is a wasteful number, since it uses less digits than its factorization.

1405984608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1405984608000 in words is "one trillion, four hundred five billion, nine hundred eighty-four million, six hundred eight thousand".