1416378385344 has 224 divisors, whose sum is σ = 4214950354944. Its totient is φ = 416493158400.

The previous prime is 1416378385343. The next prime is 1416378385363. The reversal of 1416378385344 is 4435838736141.

It is a super-2 number, since 2×1416378385344² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1416378385343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68936737 + ... + 68957279.

It is an arithmetic number, because the mean of its divisors is an integer number (18816742656).

Almost surely, 2^{1416378385344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1416378385344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107475177472).

1416378385344 is an abundant number, since it is smaller than the sum of its proper divisors (2798571969600).

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

1416378385344 is a wasteful number, since it uses less digits than its factorization.

1416378385344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21795 (or 21785 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 57.

The spelling of 1416378385344 in words is "one trillion, four hundred sixteen billion, three hundred seventy-eight million, three hundred eighty-five thousand, three hundred forty-four".