1406848925328 has 320 divisors, whose sum is σ = 4566846941184. Its totient is φ = 362548224000.

The previous prime is 1406848925323. The next prime is 1406848925333. The reversal of 1406848925328 is 8235298486041.

It is an interprime number because it is at equal distance from previous prime (1406848925323) and next prime (1406848925333).

It is not an unprimeable number, because it can be changed into a prime (1406848925323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 252075498 + ... + 252081078.

Almost surely, 2^{1406848925328} 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 1406848925328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283423470592).

1406848925328 is an abundant number, since it is smaller than the sum of its proper divisors (3159998015856).

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

1406848925328 is a wasteful number, since it uses less digits than its factorization.

1406848925328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6134 (or 6128 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 1406848925328 in words is "one trillion, four hundred six billion, eight hundred forty-eight million, nine hundred twenty-five thousand, three hundred twenty-eight".