10024207818240 has 2560 divisors, whose sum is σ = 42991534080000. Its totient is φ = 1972518912000.

The previous prime is 10024207818179. The next prime is 10024207818271. The reversal of 10024207818240 is 4281870242001.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 66385482165 + ... + 66385482315.

It is an arithmetic number, because the mean of its divisors is an integer number (16793568000).

Almost surely, 2^{10024207818240} is an apocalyptic number.

10024207818240 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 10024207818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21495767040000).

10024207818240 is an abundant number, since it is smaller than the sum of its proper divisors (32967326261760).

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

10024207818240 is a wasteful number, since it uses less digits than its factorization.

10024207818240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The spelling of 10024207818240 in words is "ten trillion, twenty-four billion, two hundred seven million, eight hundred eighteen thousand, two hundred forty".