1271998464 has 288 divisors, whose sum is σ = 3921372000. Its totient is φ = 365854720.

The previous prime is 1271998433. The next prime is 1271998471. The reversal of 1271998464 is 4648991721.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21559267 + ... + 21559325.

It is an arithmetic number, because the mean of its divisors is an integer number (13615875).

Almost surely, 2^1271998464 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 1271998464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960686000).

1271998464 is an abundant number, since it is smaller than the sum of its proper divisors (2649373536).

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

1271998464 is a wasteful number, since it uses less digits than its factorization.

1271998464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 104 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 1271998464 is about 35665.0874665968. The cubic root of 1271998464 is about 1083.4998668694.

The spelling of 1271998464 in words is "one billion, two hundred seventy-one million, nine hundred ninety-eight thousand, four hundred sixty-four".