1381485772800 has 1080 divisors, whose sum is σ = 5780835918000. Its totient is φ = 314446970880.

The previous prime is 1381485772787. The next prime is 1381485772873. The reversal of 1381485772800 is 82775841831.

1381485772800 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 48 + 577 + 28 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5780275081 + ... + 5780275319.

It is an arithmetic number, because the mean of its divisors is an integer number (5352625850).

Almost surely, 2^{1381485772800} is an apocalyptic number.

1381485772800 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 1381485772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890417959000).

1381485772800 is an abundant number, since it is smaller than the sum of its proper divisors (4399350145200).

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

1381485772800 is an frugal number, since it uses more digits than its factorization.

1381485772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 1381485772800 in words is "one trillion, three hundred eighty-one billion, four hundred eighty-five million, seven hundred seventy-two thousand, eight hundred".