1340928000 has 416 divisors, whose sum is σ = 5008960320. Its totient is φ = 353894400.

The previous prime is 1340927969. The next prime is 1340928007. The reversal of 1340928000 is 8290431.

It is a super-3 number, since 3×1340928000³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340928007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13823952 + ... + 13824048.

It is an arithmetic number, because the mean of its divisors is an integer number (12040770).

Almost surely, 2^1340928000 is an apocalyptic number.

1340928000 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 1340928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504480160).

1340928000 is an abundant number, since it is smaller than the sum of its proper divisors (3668032320).

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

1340928000 is an frugal number, since it uses more digits than its factorization.

1340928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1340928000 is about 36618.6837557004. The cubic root of 1340928000 is about 1102.7282141297.

The spelling of 1340928000 in words is "one billion, three hundred forty million, nine hundred twenty-eight thousand".