2263041405440 has 80 divisors (see below), whose sum is σ = 5558336978040. Its totient is φ = 883138068480.

The previous prime is 2263041405421. The next prime is 2263041405461. The reversal of 2263041405440 is 445041403622.

It can be written as a sum of positive squares in 4 ways, for example, as 1619734745344 + 643306660096 = 1272688^2 + 802064^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2263041405440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10675535 + ... + 10885454.

Almost surely, 2^{2263041405440} is an apocalyptic number.

2263041405440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2263041405440 is an abundant number, since it is smaller than the sum of its proper divisors (3295295572600).

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

2263041405440 is an equidigital number, since it uses as much as digits as its factorization.

2263041405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21561053 (or 21561037 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The spelling of 2263041405440 in words is "two trillion, two hundred sixty-three billion, forty-one million, four hundred five thousand, four hundred forty".