1406325315416 has 128 divisors (see below), whose sum is σ = 3221016960000. Its totient is φ = 562254815232.

The previous prime is 1406325315379. The next prime is 1406325315431. The reversal of 1406325315416 is 6145135236041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20504156 + ... + 20572628.

It is an arithmetic number, because the mean of its divisors is an integer number (25164195000).

Almost surely, 2^{1406325315416} 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 1406325315416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610508480000).

1406325315416 is an abundant number, since it is smaller than the sum of its proper divisors (1814691644584).

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

1406325315416 is a wasteful number, since it uses less digits than its factorization.

1406325315416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68801 (or 68797 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 1406325315416 in words is "one trillion, four hundred six billion, three hundred twenty-five million, three hundred fifteen thousand, four hundred sixteen".