2040145040000 has 160 divisors (see below), whose sum is σ = 5082393379140. Its totient is φ = 815482880000.

The previous prime is 2040145039939. The next prime is 2040145040023. The reversal of 2040145040000 is 405410402.

It can be written as a sum of positive squares in 10 ways, for example, as 1166279043136 + 873865996864 = 1079944^2 + 934808^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 19 ways as a sum of consecutive naturals, for example, 124231790 + ... + 124248210.

Almost surely, 2^{2040145040000} is an apocalyptic number.

2040145040000 is a gapful number since it is divisible by the number (20) 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 2040145040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541196689570).

2040145040000 is an abundant number, since it is smaller than the sum of its proper divisors (3042248339140).

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

2040145040000 is an equidigital number, since it uses as much as digits as its factorization.

2040145040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18008 (or 17981 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The spelling of 2040145040000 in words is "two trillion, forty billion, one hundred forty-five million, forty thousand".