1067130613344 has 96 divisors (see below), whose sum is σ = 2869289305344. Its totient is φ = 347083107840.

The previous prime is 1067130613331. The next prime is 1067130613441. The reversal of 1067130613344 is 4433160317601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1067130613344² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3926334 + ... + 4189314.

It is an arithmetic number, because the mean of its divisors is an integer number (29888430264).

Almost surely, 2^{1067130613344} 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 1067130613344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434644652672).

1067130613344 is an abundant number, since it is smaller than the sum of its proper divisors (1802158692000).

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

1067130613344 is a wasteful number, since it uses less digits than its factorization.

1067130613344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264020 (or 264012 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 1067130613344 in words is "one trillion, sixty-seven billion, one hundred thirty million, six hundred thirteen thousand, three hundred forty-four".