1408366068768 has 72 divisors (see below), whose sum is σ = 4055737795200. Its totient is φ = 463512875904.

The previous prime is 1408366068743. The next prime is 1408366068799. The reversal of 1408366068768 is 8678606638041.

1408366068768 is a `hidden beast` number, since 1 + 408 + 36 + 60 + 6 + 87 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30927628 + ... + 30973131.

It is an arithmetic number, because the mean of its divisors is an integer number (56329691600).

Almost surely, 2^{1408366068768} is an apocalyptic number.

1408366068768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1408366068768 is an abundant number, since it is smaller than the sum of its proper divisors (2647371726432).

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

1408366068768 is a wasteful number, since it uses less digits than its factorization.

1408366068768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61900854 (or 61900843 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 1408366068768 in words is "one trillion, four hundred eight billion, three hundred sixty-six million, sixty-eight thousand, seven hundred sixty-eight".