1070041145952 has 96 divisors (see below), whose sum is σ = 2863443260160. Its totient is φ = 349756392960.

The previous prime is 1070041145903. The next prime is 1070041145977. The reversal of 1070041145952 is 2595411400701.

It is a happy number.

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

It is a super-2 number, since 2×1070041145952² (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 1070041145952.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9258699 + ... + 9373557.

It is an arithmetic number, because the mean of its divisors is an integer number (29827533960).

Almost surely, 2^{1070041145952} is an apocalyptic number.

1070041145952 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 1070041145952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431721630080).

1070041145952 is an abundant number, since it is smaller than the sum of its proper divisors (1793402114208).

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

1070041145952 is a wasteful number, since it uses less digits than its factorization.

1070041145952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116756 (or 116748 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The spelling of 1070041145952 in words is "one trillion, seventy billion, forty-one million, one hundred forty-five thousand, nine hundred fifty-two".