1040430221440 has 32 divisors (see below), whose sum is σ = 2487278499660. Its totient is φ = 416172088320.

The previous prime is 1040430221431. The next prime is 1040430221449. The reversal of 1040430221440 is 441220340401.

It is an interprime number because it is at equal distance from previous prime (1040430221431) and next prime (1040430221449).

It can be written as a sum of positive squares in 2 ways, for example, as 999952000576 + 40478220864 = 999976^2 + 201192^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (1040430221449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 812835471 + ... + 812836750.

Almost surely, 2^{1040430221440} is an apocalyptic number.

1040430221440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040430221440 is an abundant number, since it is smaller than the sum of its proper divisors (1446848278220).

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

1040430221440 is an equidigital number, since it uses as much as digits as its factorization.

1040430221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625672240 (or 1625672228 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 1040430221440 its reverse (441220340401), we get a palindrome (1481650561841).

The spelling of 1040430221440 in words is "one trillion, forty billion, four hundred thirty million, two hundred twenty-one thousand, four hundred forty".