1378420000 has 120 divisors (see below), whose sum is σ = 3475896732. Its totient is φ = 537920000.

The previous prime is 1378419983. The next prime is 1378420003. The reversal of 1378420000 is 248731.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 10 ways, for example, as 1375223056 + 3196944 = 37084^2 + 1788^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1378420003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33619980 + ... + 33620020.

Almost surely, 2^1378420000 is an apocalyptic number.

1378420000 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 1378420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737948366).

1378420000 is an abundant number, since it is smaller than the sum of its proper divisors (2097476732).

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

1378420000 is an frugal number, since it uses more digits than its factorization.

1378420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 1378420000 is about 37127.0790663634. The cubic root of 1378420000 is about 1112.9112228039.

Adding to 1378420000 its reverse (248731), we get a palindrome (1378668731).

The spelling of 1378420000 in words is "one billion, three hundred seventy-eight million, four hundred twenty thousand".