1281982464 has 384 divisors, whose sum is σ = 4580110080. Its totient is φ = 350355456.

The previous prime is 1281982451. The next prime is 1281982483. The reversal of 1281982464 is 4642891821.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1281982464² = 3286958076007022592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

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, 55738357 + ... + 55738379.

It is an arithmetic number, because the mean of its divisors is an integer number (11927370).

Almost surely, 2^1281982464 is an apocalyptic number.

1281982464 is a gapful number since it is divisible by the number (14) 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 1281982464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290055040).

1281982464 is an abundant number, since it is smaller than the sum of its proper divisors (3298127616).

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

1281982464 is an frugal number, since it uses more digits than its factorization.

1281982464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 35 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 1281982464 is about 35804.7826972878. The cubic root of 1281982464 is about 1086.3273028298.

The spelling of 1281982464 in words is "one billion, two hundred eighty-one million, nine hundred eighty-two thousand, four hundred sixty-four".