1340220400 has 120 divisors (see below), whose sum is σ = 3310837200. Its totient is φ = 521164800.

The previous prime is 1340220391. The next prime is 1340220407. The reversal of 1340220400 is 40220431.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340220407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2572140 + ... + 2572660.

It is an arithmetic number, because the mean of its divisors is an integer number (27590310).

Almost surely, 2^1340220400 is an apocalyptic number.

1340220400 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 1340220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655418600).

1340220400 is an abundant number, since it is smaller than the sum of its proper divisors (1970616800).

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

1340220400 is a wasteful number, since it uses less digits than its factorization.

1340220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1340220400 is about 36609.0207462587. The cubic root of 1340220400 is about 1102.5342122205.

Adding to 1340220400 its reverse (40220431), we get a palindrome (1380440831).

The spelling of 1340220400 in words is "one billion, three hundred forty million, two hundred twenty thousand, four hundred".