10241207838720 has 576 divisors, whose sum is σ = 37403473161600. Its totient is φ = 2584402329600.

The previous prime is 10241207838691. The next prime is 10241207838731. The reversal of 10241207838720 is 2783870214201.

10241207838720 is a `hidden beast` number, since 1 + 0 + 2 + 41 + 207 + 8 + 387 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1913884045 + ... + 1913889395.

It is an arithmetic number, because the mean of its divisors is an integer number (64936585350).

Almost surely, 2^{10241207838720} is an apocalyptic number.

10241207838720 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 10241207838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18701736580800).

10241207838720 is an abundant number, since it is smaller than the sum of its proper divisors (27162265322880).

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

10241207838720 is a wasteful number, since it uses less digits than its factorization.

10241207838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6496 (or 6473 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 10241207838720 in words is "ten trillion, two hundred forty-one billion, two hundred seven million, eight hundred thirty-eight thousand, seven hundred twenty".