1071938709360 has 320 divisors, whose sum is σ = 3712324598400. Its totient is φ = 284299517952.

The previous prime is 1071938709341. The next prime is 1071938709379. The reversal of 1071938709360 is 639078391701.

1071938709360 is a `hidden beast` number, since 10 + 7 + 193 + 87 + 0 + 9 + 360 = 666.

1071938709360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1071938709341) and next prime (1071938709379).

It is a super-2 number, since 2×1071938709360² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1071938709297 and 1071938709306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 329521494 + ... + 329524746.

It is an arithmetic number, because the mean of its divisors is an integer number (11601014370).

Almost surely, 2^{1071938709360} is an apocalyptic number.

1071938709360 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 1071938709360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856162299200).

1071938709360 is an abundant number, since it is smaller than the sum of its proper divisors (2640385889040).

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

1071938709360 is a wasteful number, since it uses less digits than its factorization.

1071938709360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057 (or 4045 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 1071938709360 in words is "one trillion, seventy-one billion, nine hundred thirty-eight million, seven hundred nine thousand, three hundred sixty".