1378197504000 has 1360 divisors, whose sum is σ = 5383633322496. Its totient is φ = 350355456000.

The previous prime is 1378197503981. The next prime is 1378197504001. The reversal of 1378197504000 is 4057918731.

1378197504000 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 197 + 50 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378197504001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20570111967 + ... + 20570112033.

Almost surely, 2^{1378197504000} is an apocalyptic number.

1378197504000 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 1378197504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691816661248).

1378197504000 is an abundant number, since it is smaller than the sum of its proper divisors (4005435818496).

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

1378197504000 is an frugal number, since it uses more digits than its factorization.

1378197504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 1378197504000 in words is "one trillion, three hundred seventy-eight billion, one hundred ninety-seven million, five hundred four thousand".