1381299442416 has 100 divisors (see below), whose sum is σ = 3999638005792. Its totient is φ = 460230833664.

The previous prime is 1381299442379. The next prime is 1381299442417. The reversal of 1381299442416 is 6142449921831.

1381299442416 is a `hidden beast` number, since 1 + 3 + 8 + 129 + 94 + 424 + 1 + 6 = 666.

It is a super-3 number, since 3×1381299442416³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381299442417) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2730936 + ... + 3196968.

Almost surely, 2^{1381299442416} is an apocalyptic number.

1381299442416 is a gapful number since it is divisible by the number (16) 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 1381299442416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999819002896).

1381299442416 is an abundant number, since it is smaller than the sum of its proper divisors (2618338563376).

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

1381299442416 is a wasteful number, since it uses less digits than its factorization.

1381299442416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468340 (or 468325 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 1381299442416 in words is "one trillion, three hundred eighty-one billion, two hundred ninety-nine million, four hundred forty-two thousand, four hundred sixteen".