1340900400 has 120 divisors (see below), whose sum is σ = 4909003264. Its totient is φ = 306489600.

The previous prime is 1340900399. The next prime is 1340900401. The reversal of 1340900400 is 40090431.

It is an interprime number because it is at equal distance from previous prime (1340900399) and next prime (1340900401).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340900401) 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, 71416 + ... + 88215.

Almost surely, 2^1340900400 is an apocalyptic number.

1340900400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1340900400 is an abundant number, since it is smaller than the sum of its proper divisors (3568102864).

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

1340900400 is a wasteful number, since it uses less digits than its factorization.

1340900400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159659 (or 159648 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1340900400 is about 36618.3068969607. The cubic root of 1340900400 is about 1102.7206483475.

Adding to 1340900400 its reverse (40090431), we get a palindrome (1380990831).

The spelling of 1340900400 in words is "one billion, three hundred forty million, nine hundred thousand, four hundred".