1024223333040 has 320 divisors, whose sum is σ = 3613297543680. Its totient is φ = 266525199360.

The previous prime is 1024223333017. The next prime is 1024223333053. The reversal of 1024223333040 is 403333224201.

1024223333040 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 22 + 333 + 304 + 0 = 666.

It is a super-3 number, since 3×1024223333040³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1024223332995 and 1024223333013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112658895 + ... + 112667985.

It is an arithmetic number, because the mean of its divisors is an integer number (11291554824).

Almost surely, 2^{1024223333040} is an apocalyptic number.

1024223333040 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 1024223333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806648771840).

1024223333040 is an abundant number, since it is smaller than the sum of its proper divisors (2589074210640).

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

1024223333040 is a wasteful number, since it uses less digits than its factorization.

1024223333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10369 (or 10357 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 1024223333040 its reverse (403333224201), we get a palindrome (1427556557241).

The spelling of 1024223333040 in words is "one trillion, twenty-four billion, two hundred twenty-three million, three hundred thirty-three thousand, forty".