1381208716800 has 960 divisors, whose sum is σ = 5550150481920. Its totient is φ = 333656064000.

The previous prime is 1381208716781. The next prime is 1381208716819. The reversal of 1381208716800 is 86178021831.

It is a happy number.

1381208716800 is a `hidden beast` number, since 1 + 381 + 208 + 7 + 1 + 68 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1381208716781) and next prime (1381208716819).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×1381208716800³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1600473169 + ... + 1600474031.

It is an arithmetic number, because the mean of its divisors is an integer number (5781406752).

Almost surely, 2^{1381208716800} is an apocalyptic number.

1381208716800 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 1381208716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775075240960).

1381208716800 is an abundant number, since it is smaller than the sum of its proper divisors (4168941765120).

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

1381208716800 is a wasteful number, since it uses less digits than its factorization.

1381208716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 1381208716800 in words is "one trillion, three hundred eighty-one billion, two hundred eight million, seven hundred sixteen thousand, eight hundred".