1378995200 has 264 divisors, whose sum is σ = 3837879360. Its totient is φ = 487014400.

The previous prime is 1378995197. The next prime is 1378995203. The reversal of 1378995200 is 25998731.

It is an interprime number because it is at equal distance from previous prime (1378995197) and next prime (1378995203).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (1378995203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16614359 + ... + 16614441.

Almost surely, 2^1378995200 is an apocalyptic number.

1378995200 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 1378995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918939680).

1378995200 is an abundant number, since it is smaller than the sum of its proper divisors (2458884160).

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

1378995200 is a wasteful number, since it uses less digits than its factorization.

1378995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 44.

The square root of 1378995200 is about 37134.8246259492. The cubic root of 1378995200 is about 1113.0660032806.

The spelling of 1378995200 in words is "one billion, three hundred seventy-eight million, nine hundred ninety-five thousand, two hundred".