1012740341760 has 1620 divisors, whose sum is σ = 4382991119052. Its totient is φ = 215620780032.

The previous prime is 1012740341741. The next prime is 1012740341761. The reversal of 1012740341760 is 671430472101.

It can be written as a sum of positive squares in 6 ways, for example, as 39565983744 + 973174358016 = 198912^2 + 986496^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012740341761) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10440622032 + ... + 10440622128.

Almost surely, 2^{1012740341760} is an apocalyptic number.

1012740341760 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 1012740341760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191495559526).

1012740341760 is an abundant number, since it is smaller than the sum of its proper divisors (3370250777292).

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

1012740341760 is an equidigital number, since it uses as much as digits as its factorization.

1012740341760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 1012740341760 in words is "one trillion, twelve billion, seven hundred forty million, three hundred forty-one thousand, seven hundred sixty".