1321488000 has 1024 divisors, whose sum is σ = 6110208000. Its totient is φ = 273715200.

The previous prime is 1321487989. The next prime is 1321488011. The reversal of 1321488000 is 8841231.

It is an interprime number because it is at equal distance from previous prime (1321487989) and next prime (1321488011).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57455989 + ... + 57456011.

It is an arithmetic number, because the mean of its divisors is an integer number (5967000).

Almost surely, 2^1321488000 is an apocalyptic number.

1321488000 is a gapful number since it is divisible by the number (10) 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 1321488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055104000).

1321488000 is an abundant number, since it is smaller than the sum of its proper divisors (4788720000).

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

1321488000 is a wasteful number, since it uses less digits than its factorization.

1321488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1321488000 is about 36352.2764073999. The cubic root of 1321488000 is about 1097.3733472221.

The spelling of 1321488000 in words is "one billion, three hundred twenty-one million, four hundred eighty-eight thousand".