2040401041440 has 192 divisors, whose sum is σ = 6454525222656. Its totient is φ = 541802196992.

The previous prime is 2040401041433. The next prime is 2040401041453. The reversal of 2040401041440 is 441401040402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2040401041440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192249574 + ... + 192260186.

It is an arithmetic number, because the mean of its divisors is an integer number (33617318868).

Almost surely, 2^{2040401041440} is an apocalyptic number.

2040401041440 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 2040401041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227262611328).

2040401041440 is an abundant number, since it is smaller than the sum of its proper divisors (4414124181216).

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

2040401041440 is a wasteful number, since it uses less digits than its factorization.

2040401041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12291 (or 12283 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 2040401041440 its reverse (441401040402), we get a palindrome (2481802081842).

The spelling of 2040401041440 in words is "two trillion, forty billion, four hundred one million, forty-one thousand, four hundred forty".