1293981416 has 96 divisors (see below), whose sum is σ = 3137863680. Its totient is φ = 495331200.

The previous prime is 1293981407. The next prime is 1293981433. The reversal of 1293981416 is 6141893921.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153881 + ... + 162071.

It is an arithmetic number, because the mean of its divisors is an integer number (32686080).

Almost surely, 2^1293981416 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 1293981416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568931840).

1293981416 is an abundant number, since it is smaller than the sum of its proper divisors (1843882264).

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

1293981416 is a wasteful number, since it uses less digits than its factorization.

1293981416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8255 (or 8244 counting only the distinct ones).

The product of its digits is 93312, while the sum is 44.

The square root of 1293981416 is about 35971.9531857807. The cubic root of 1293981416 is about 1089.7060105490.

The spelling of 1293981416 in words is "one billion, two hundred ninety-three million, nine hundred eighty-one thousand, four hundred sixteen".