1340492400 has 180 divisors, whose sum is σ = 5009892888. Its totient is φ = 329955840.

The previous prime is 1340492393. The next prime is 1340492407. The reversal of 1340492400 is 42940431.

1340492400 is a `hidden beast` number, since 13 + 404 + 9 + 240 + 0 = 666.

1340492400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1340492393) and next prime (1340492407).

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340492407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32479 + ... + 61121.

Almost surely, 2^1340492400 is an apocalyptic number.

1340492400 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 1340492400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504946444).

1340492400 is an abundant number, since it is smaller than the sum of its proper divisors (3669400488).

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

1340492400 is a wasteful number, since it uses less digits than its factorization.

1340492400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28680 (or 28666 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1340492400 is about 36612.7354891710. The cubic root of 1340492400 is about 1102.6087942371.

The spelling of 1340492400 in words is "one billion, three hundred forty million, four hundred ninety-two thousand, four hundred".