10201241034240 has 320 divisors, whose sum is σ = 34201132416000. Its totient is φ = 2588971106304.

The previous prime is 10201241034239. The next prime is 10201241034317. The reversal of 10201241034240 is 4243014210201.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10201241034240.

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 31 ways as a sum of consecutive naturals, for example, 35006256 + ... + 35296464.

It is an arithmetic number, because the mean of its divisors is an integer number (106878538800).

Almost surely, 2^{10201241034240} is an apocalyptic number.

10201241034240 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 10201241034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17100566208000).

10201241034240 is an abundant number, since it is smaller than the sum of its proper divisors (23999891381760).

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

10201241034240 is a wasteful number, since it uses less digits than its factorization.

10201241034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290457 (or 290441 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10201241034240 its reverse (4243014210201), we get a palindrome (14444255244441).

The spelling of 10201241034240 in words is "ten trillion, two hundred one billion, two hundred forty-one million, thirty-four thousand, two hundred forty".