1010435405120 has 112 divisors (see below), whose sum is σ = 2437830542160. Its totient is φ = 398874771456.

The previous prime is 1010435405071. The next prime is 1010435405167. The reversal of 1010435405120 is 215045340101.

It can be written as a sum of positive squares in 8 ways, for example, as 405860733184 + 604574671936 = 637072^2 + 777544^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1010435405120.

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, 8365316 + ... + 8485244.

Almost surely, 2^{1010435405120} is an apocalyptic number.

1010435405120 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 1010435405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218915271080).

1010435405120 is an abundant number, since it is smaller than the sum of its proper divisors (1427395137040).

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

1010435405120 is a wasteful number, since it uses less digits than its factorization.

1010435405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120292 (or 120282 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 1010435405120 in words is "one trillion, ten billion, four hundred thirty-five million, four hundred five thousand, one hundred twenty".