1380380400 has 720 divisors, whose sum is σ = 6107347200. Its totient is φ = 289267200.

The previous prime is 1380380347. The next prime is 1380380401. The reversal of 1380380400 is 40830831.

1380380400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380380401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44528385 + ... + 44528415.

Almost surely, 2^1380380400 is an apocalyptic number.

1380380400 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 1380380400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053673600).

1380380400 is an abundant number, since it is smaller than the sum of its proper divisors (4726966800).

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

1380380400 is a wasteful number, since it uses less digits than its factorization.

1380380400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1380380400 is about 37153.4709011150. The cubic root of 1380380400 is about 1113.4385699783.

The spelling of 1380380400 in words is "one billion, three hundred eighty million, three hundred eighty thousand, four hundred".