1383394707072 has 384 divisors, whose sum is σ = 4740299366400. Its totient is φ = 378923304960.

The previous prime is 1383394707061. The next prime is 1383394707077. The reversal of 1383394707072 is 2707074933831.

1383394707072 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 39 + 470 + 70 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (1383394707077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26722429 + ... + 26774147.

It is an arithmetic number, because the mean of its divisors is an integer number (12344529600).

Almost surely, 2^{1383394707072} is an apocalyptic number.

1383394707072 is a gapful number since it is divisible by the number (12) 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 1383394707072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370149683200).

1383394707072 is an abundant number, since it is smaller than the sum of its proper divisors (3356904659328).

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

1383394707072 is a wasteful number, since it uses less digits than its factorization.

1383394707072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51884 (or 51869 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 1383394707072 in words is "one trillion, three hundred eighty-three billion, three hundred ninety-four million, seven hundred seven thousand, seventy-two".