10200410312240 has 80 divisors (see below), whose sum is σ = 23872093397760. Its totient is φ = 4053312506880.

The previous prime is 10200410312219. The next prime is 10200410312291. The reversal of 10200410312240 is 4221301400201.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60593306 + ... + 60761414.

It is an arithmetic number, because the mean of its divisors is an integer number (298401167472).

Almost surely, 2^{10200410312240} is an apocalyptic number.

10200410312240 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 10200410312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11936046698880).

10200410312240 is an abundant number, since it is smaller than the sum of its proper divisors (13671683085520).

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

10200410312240 is a wasteful number, since it uses less digits than its factorization.

10200410312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173110 (or 173104 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10200410312240 its reverse (4221301400201), we get a palindrome (14421711712441).

The spelling of 10200410312240 in words is "ten trillion, two hundred billion, four hundred ten million, three hundred twelve thousand, two hundred forty".