1382400000 has 360 divisors, whose sum is σ = 5119516080. Its totient is φ = 368640000.

The previous prime is 1382399987. The next prime is 1382400083. The reversal of 1382400000 is 42831.

It is a happy number.

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 is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1382400000² = 3822059520000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276479998 + ... + 276480002.

It is an arithmetic number, because the mean of its divisors is an integer number (14220878).

Almost surely, 2^1382400000 is an apocalyptic number.

1382400000 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 1382400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559758040).

1382400000 is an abundant number, since it is smaller than the sum of its proper divisors (3737116080).

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

1382400000 is an frugal number, since it uses more digits than its factorization.

1382400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1382400000 is about 37180.6401235912. The cubic root of 1382400000 is about 1113.9813200671.

Multiplying 1382400000 by its sum of digits (18), we get a 5-th power (24883200000 = 120⁵).

Adding to 1382400000 its reverse (42831), we get a palindrome (1382442831).

The spelling of 1382400000 in words is "one billion, three hundred eighty-two million, four hundred thousand".