1070407033728 has 128 divisors (see below), whose sum is σ = 2888608176000. Its totient is φ = 351123412992.

The previous prime is 1070407033691. The next prime is 1070407033741. The reversal of 1070407033728 is 8273307040701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1070407033728² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1070407033728.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26196418 + ... + 26237246.

It is an arithmetic number, because the mean of its divisors is an integer number (22567251375).

Almost surely, 2^{1070407033728} 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 1070407033728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444304088000).

1070407033728 is an abundant number, since it is smaller than the sum of its proper divisors (1818201142272).

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

1070407033728 is a wasteful number, since it uses less digits than its factorization.

1070407033728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41932 (or 41920 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The spelling of 1070407033728 in words is "one trillion, seventy billion, four hundred seven million, thirty-three thousand, seven hundred twenty-eight".