1340556800 has 120 divisors (see below), whose sum is σ = 3623654232. Its totient is φ = 487424000.

The previous prime is 1340556793. The next prime is 1340556803. The reversal of 1340556800 is 86550431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340556803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136040 + ... + 145560.

Almost surely, 2^1340556800 is an apocalyptic number.

1340556800 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 1340556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811827116).

1340556800 is an abundant number, since it is smaller than the sum of its proper divisors (2283097432).

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

1340556800 is an equidigital number, since it uses as much as digits as its factorization.

1340556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9560 (or 9539 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 1340556800 is about 36613.6149540031. The cubic root of 1340556800 is about 1102.6264511492.

The spelling of 1340556800 in words is "one billion, three hundred forty million, five hundred fifty-six thousand, eight hundred".