1406909107968 has 576 divisors, whose sum is σ = 4826256433152. Its totient is φ = 353640038400.

The previous prime is 1406909107949. The next prime is 1406909107993. The reversal of 1406909107968 is 8697019096041.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 493477743 + ... + 493480593.

Almost surely, 2^{1406909107968} 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 1406909107968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413128216576).

1406909107968 is an abundant number, since it is smaller than the sum of its proper divisors (3419347325184).

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

1406909107968 is a wasteful number, since it uses less digits than its factorization.

1406909107968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 60.

The spelling of 1406909107968 in words is "one trillion, four hundred six billion, nine hundred nine million, one hundred seven thousand, nine hundred sixty-eight".