1406976523368 has 384 divisors, whose sum is σ = 4123023379200. Its totient is φ = 398397063168.

The previous prime is 1406976523361. The next prime is 1406976523397. The reversal of 1406976523368 is 8633256796041.

It is not an unprimeable number, because it can be changed into a prime (1406976523361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1604305746 + ... + 1604306622.

It is an arithmetic number, because the mean of its divisors is an integer number (10737040050).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1406976523368 = 2813953046736, but 3⋅1406976523368 = 4220929570104 is not.

Almost surely, 2^{1406976523368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406976523368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061511689600).

1406976523368 is an abundant number, since it is smaller than the sum of its proper divisors (2716046855832).

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

1406976523368 is a wasteful number, since it uses less digits than its factorization.

1406976523368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 1406976523368 in words is "one trillion, four hundred six billion, nine hundred seventy-six million, five hundred twenty-three thousand, three hundred sixty-eight".