1408968986880 has 1728 divisors, whose sum is σ = 6167012640768. Its totient is φ = 270516879360.

The previous prime is 1408968986869. The next prime is 1408968986903. The reversal of 1408968986880 is 886898698041.

It is a super-2 number, since 2×1408968986880² (a number of 25 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 1289083614 + ... + 1289084706.

It is an arithmetic number, because the mean of its divisors is an integer number (3568873056).

Almost surely, 2^{1408968986880} is an apocalyptic number.

1408968986880 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 1408968986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083506320384).

1408968986880 is an abundant number, since it is smaller than the sum of its proper divisors (4758043653888).

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

1408968986880 is a wasteful number, since it uses less digits than its factorization.

1408968986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 382205952, while the sum is 75.

The spelling of 1408968986880 in words is "one trillion, four hundred eight billion, nine hundred sixty-eight million, nine hundred eighty-six thousand, eight hundred eighty".