1378206016000 has 320 divisors, whose sum is σ = 3812723291520. Its totient is φ = 492656640000.

The previous prime is 1378206015983. The next prime is 1378206016001. The reversal of 1378206016000 is 6106028731.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (1378206016001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41519410 + ... + 41552590.

It is an arithmetic number, because the mean of its divisors is an integer number (11914760286).

Almost surely, 2^{1378206016000} is an apocalyptic number.

1378206016000 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 1378206016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906361645760).

1378206016000 is an abundant number, since it is smaller than the sum of its proper divisors (2434517275520).

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

1378206016000 is an equidigital number, since it uses as much as digits as its factorization.

1378206016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33284 (or 33258 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 1378206016000 in words is "one trillion, three hundred seventy-eight billion, two hundred six million, sixteen thousand".