1381481816400 has 1920 divisors, whose sum is σ = 6057897984000. Its totient is φ = 292254842880.

The previous prime is 1381481816399. The next prime is 1381481816401. The reversal of 1381481816400 is 46181841831.

1381481816400 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 481 + 8 + 164 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1381481816399) and next prime (1381481816401).

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 (1381481816401) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12225502744 + ... + 12225502856.

It is an arithmetic number, because the mean of its divisors is an integer number (3155155200).

Almost surely, 2^{1381481816400} is an apocalyptic number.

1381481816400 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 1381481816400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028948992000).

1381481816400 is an abundant number, since it is smaller than the sum of its proper divisors (4676416167600).

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

1381481816400 is a wasteful number, since it uses less digits than its factorization.

1381481816400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 1381481816400 in words is "one trillion, three hundred eighty-one billion, four hundred eighty-one million, eight hundred sixteen thousand, four hundred".