1380341400 has 96 divisors (see below), whose sum is σ = 4286779200. Its totient is φ = 367427200.

The previous prime is 1380341399. The next prime is 1380341423. The reversal of 1380341400 is 41430831.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 393655 + ... + 397145.

It is an arithmetic number, because the mean of its divisors is an integer number (44653950).

Almost surely, 2^1380341400 is an apocalyptic number.

1380341400 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 1380341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143389600).

1380341400 is an abundant number, since it is smaller than the sum of its proper divisors (2906437800).

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

1380341400 is a wasteful number, since it uses less digits than its factorization.

1380341400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4169 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1380341400 is about 37152.9460473863. The cubic root of 1380341400 is about 1113.4280838560.

The spelling of 1380341400 in words is "one billion, three hundred eighty million, three hundred forty-one thousand, four hundred".