1406313133512 has 128 divisors (see below), whose sum is σ = 4162615833600. Its totient is φ = 387386092800.

The previous prime is 1406313133493. The next prime is 1406313133531. The reversal of 1406313133512 is 2153313136041.

It is an interprime number because it is at equal distance from previous prime (1406313133493) and next prime (1406313133531).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3157687 + ... + 3575417.

It is an arithmetic number, because the mean of its divisors is an integer number (32520436200).

Almost surely, 2^{1406313133512} is an apocalyptic number.

1406313133512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406313133512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081307916800).

1406313133512 is an abundant number, since it is smaller than the sum of its proper divisors (2756302700088).

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

1406313133512 is a wasteful number, since it uses less digits than its factorization.

1406313133512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418467 (or 418463 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

Adding to 1406313133512 its reverse (2153313136041), we get a palindrome (3559626269553).

The spelling of 1406313133512 in words is "one trillion, four hundred six billion, three hundred thirteen million, one hundred thirty-three thousand, five hundred twelve".