1381355481600 has 720 divisors, whose sum is σ = 5259417875712. Its totient is φ = 345029345280.

The previous prime is 1381355481559. The next prime is 1381355481619. The reversal of 1381355481600 is 61845531831.

1381355481600 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 35 + 5 + 4 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 436721619 + ... + 436724781.

Almost surely, 2^{1381355481600} is an apocalyptic number.

1381355481600 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 1381355481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629708937856).

1381355481600 is an abundant number, since it is smaller than the sum of its proper divisors (3878062394112).

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

1381355481600 is a wasteful number, since it uses less digits than its factorization.

1381355481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3437 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1381355481600 in words is "one trillion, three hundred eighty-one billion, three hundred fifty-five million, four hundred eighty-one thousand, six hundred".