1385416949760 has 816 divisors, whose sum is σ = 5056480106496. Its totient is φ = 363860066304.

The previous prime is 1385416949729. The next prime is 1385416949779. The reversal of 1385416949760 is 679496145831.

1385416949760 is a `hidden beast` number, since 1 + 3 + 85 + 4 + 1 + 6 + 9 + 497 + 60 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10112532412 + ... + 10112532548.

Almost surely, 2^{1385416949760} is an apocalyptic number.

1385416949760 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 1385416949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528240053248).

1385416949760 is an abundant number, since it is smaller than the sum of its proper divisors (3671063156736).

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

1385416949760 is an frugal number, since it uses more digits than its factorization.

1385416949760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 1385416949760 in words is "one trillion, three hundred eighty-five billion, four hundred sixteen million, nine hundred forty-nine thousand, seven hundred sixty".