1408181296896 has 576 divisors, whose sum is σ = 4692904957440. Its totient is φ = 412848783360.

The previous prime is 1408181296889. The next prime is 1408181296897. The reversal of 1408181296896 is 6986921818041.

1408181296896 is a `hidden beast` number, since 1 + 408 + 1 + 81 + 2 + 9 + 68 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1408181296897) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 294165415 + ... + 294170201.

It is an arithmetic number, because the mean of its divisors is an integer number (8147404440).

Almost surely, 2^{1408181296896} is an apocalyptic number.

1408181296896 is a gapful number since it is divisible by the number (16) 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 1408181296896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346452478720).

1408181296896 is an abundant number, since it is smaller than the sum of its proper divisors (3284723660544).

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

1408181296896 is a wasteful number, since it uses less digits than its factorization.

1408181296896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4949 (or 4929 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 1408181296896 in words is "one trillion, four hundred eight billion, one hundred eighty-one million, two hundred ninety-six thousand, eight hundred ninety-six".