1070105967840 has 768 divisors, whose sum is σ = 4255519887360. Its totient is φ = 220042690560.

The previous prime is 1070105967793. The next prime is 1070105967869. The reversal of 1070105967840 is 487695010701.

1070105967840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1070105967840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1070105967840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 276011982 + ... + 276015858.

It is an arithmetic number, because the mean of its divisors is an integer number (5541041520).

Almost surely, 2^{1070105967840} is an apocalyptic number.

1070105967840 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 1070105967840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127759943680).

1070105967840 is an abundant number, since it is smaller than the sum of its proper divisors (3185413919520).

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

1070105967840 is a wasteful number, since it uses less digits than its factorization.

1070105967840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4075 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 1070105967840 in words is "one trillion, seventy billion, one hundred five million, nine hundred sixty-seven thousand, eight hundred forty".