10210410240 has 288 divisors, whose sum is σ = 34260710400. Its totient is φ = 2586574848.

The previous prime is 10210410193. The next prime is 10210410281. The reversal of 10210410240 is 4201401201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17045461 + ... + 17046059.

It is an arithmetic number, because the mean of its divisors is an integer number (118960800).

Almost surely, 2^10210410240 is an apocalyptic number.

10210410240 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 10210410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17130355200).

10210410240 is an abundant number, since it is smaller than the sum of its proper divisors (24050300160).

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

10210410240 is a wasteful number, since it uses less digits than its factorization.

10210410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10210410240 its reverse (4201401201), we get a palindrome (14411811441).

The spelling of 10210410240 in words is "ten billion, two hundred ten million, four hundred ten thousand, two hundred forty".