1371328800 has 576 divisors, whose sum is σ = 5230915200. Its totient is φ = 309657600.

The previous prime is 1371328787. The next prime is 1371328807. The reversal of 1371328800 is 88231731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1371328807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22480770 + ... + 22480830.

It is an arithmetic number, because the mean of its divisors is an integer number (9081450).

Almost surely, 2^1371328800 is an apocalyptic number.

1371328800 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 1371328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615457600).

1371328800 is an abundant number, since it is smaller than the sum of its proper divisors (3859586400).

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

1371328800 is a wasteful number, since it uses less digits than its factorization.

1371328800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 1371328800 is about 37031.4568981562. The cubic root of 1371328800 is about 1110.9995055309. Note that the first 3 decimals are identical.

The spelling of 1371328800 in words is "one billion, three hundred seventy-one million, three hundred twenty-eight thousand, eight hundred".