1553430141440 has 80 divisors (see below), whose sum is σ = 3727115500680. Its totient is φ = 620950978560.

The previous prime is 1553430141397. The next prime is 1553430141479. The reversal of 1553430141440 is 441410343551.

It can be written as a sum of positive squares in 4 ways, for example, as 1243706726656 + 309723414784 = 1115216^2 + 556528^2 .

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 1553430141440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3586496 + ... + 3996224.

Almost surely, 2^{1553430141440} is an apocalyptic number.

1553430141440 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 1553430141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863557750340).

1553430141440 is an abundant number, since it is smaller than the sum of its proper divisors (2173685359240).

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

1553430141440 is an equidigital number, since it uses as much as digits as its factorization.

1553430141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411233 (or 411217 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 1553430141440 its reverse (441410343551), we get a palindrome (1994840484991).

The spelling of 1553430141440 in words is "one trillion, five hundred fifty-three billion, four hundred thirty million, one hundred forty-one thousand, four hundred forty".