10355042001440 has 24 divisors (see below), whose sum is σ = 24463786728780. Its totient is φ = 4142016800512.

The previous prime is 10355042001391. The next prime is 10355042001497. The reversal of 10355042001440 is 4410024055301.

It can be written as a sum of positive squares in 2 ways, for example, as 8668337193616 + 1686704807824 = 2944204^2 + 1298732^2 .

It is a super-3 number, since 3×10355042001440³ (a number of 40 digits) contains 333 as substring.

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 3 ways as a sum of consecutive naturals, for example, 32359506095 + ... + 32359506414.

Almost surely, 2^{10355042001440} is an apocalyptic number.

10355042001440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10355042001440 is an abundant number, since it is smaller than the sum of its proper divisors (14108744727340).

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

10355042001440 is an equidigital number, since it uses as much as digits as its factorization.

10355042001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64719012524 (or 64719012516 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 10355042001440 its reverse (4410024055301), we get a palindrome (14765066056741).

The spelling of 10355042001440 in words is "ten trillion, three hundred fifty-five billion, forty-two million, one thousand, four hundred forty".