1024355152240 has 80 divisors (see below), whose sum is σ = 2722108006080. Its totient is φ = 351175219200.

The previous prime is 1024355152217. The next prime is 1024355152243. The reversal of 1024355152240 is 422515534201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1024355152196 and 1024355152205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024355152243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6474396 + ... + 6630724.

It is an arithmetic number, because the mean of its divisors is an integer number (34026350076).

Almost surely, 2^{1024355152240} is an apocalyptic number.

1024355152240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024355152240 is an abundant number, since it is smaller than the sum of its proper divisors (1697752853840).

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

1024355152240 is a wasteful number, since it uses less digits than its factorization.

1024355152240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168050 (or 168044 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 1024355152240 in words is "one trillion, twenty-four billion, three hundred fifty-five million, one hundred fifty-two thousand, two hundred forty".