1340724000 has 384 divisors, whose sum is σ = 5479778304. Its totient is φ = 278400000.

The previous prime is 1340723959. The next prime is 1340724001. The reversal of 1340724000 is 4270431.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1340724001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 923275 + ... + 924725.

It is an arithmetic number, because the mean of its divisors is an integer number (14270256).

Almost surely, 2^1340724000 is an apocalyptic number.

1340724000 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 1340724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739889152).

1340724000 is an abundant number, since it is smaller than the sum of its proper divisors (4139054304).

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

1340724000 is a wasteful number, since it uses less digits than its factorization.

1340724000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 1340724000 is about 36615.8981864435. The cubic root of 1340724000 is about 1102.6722906786.

Adding to 1340724000 its reverse (4270431), we get a palindrome (1344994431).

The spelling of 1340724000 in words is "one billion, three hundred forty million, seven hundred twenty-four thousand".