1024224003440 has 40 divisors (see below), whose sum is σ = 2597804520048. Its totient is φ = 372445091840.

The previous prime is 1024224003371. The next prime is 1024224003463. The reversal of 1024224003440 is 443004224201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1024224003440³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 581944577 + ... + 581946336.

Almost surely, 2^{1024224003440} is an apocalyptic number.

1024224003440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024224003440 is an abundant number, since it is smaller than the sum of its proper divisors (1573580516608).

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

1024224003440 is a wasteful number, since it uses less digits than its factorization.

1024224003440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163890937 (or 1163890931 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 1024224003440 its reverse (443004224201), we get a palindrome (1467228227641).

The spelling of 1024224003440 in words is "one trillion, twenty-four billion, two hundred twenty-four million, three thousand, four hundred forty".