10200440210240 has 224 divisors, whose sum is σ = 30109596701184. Its totient is φ = 3211287920640.

The previous prime is 10200440210231. The next prime is 10200440210243. The reversal of 10200440210240 is 4201204400201.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200440210243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1705412 + ... + 4827971.

It is an arithmetic number, because the mean of its divisors is an integer number (134417842416).

Almost surely, 2^{10200440210240} is an apocalyptic number.

10200440210240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200440210240 is an abundant number, since it is smaller than the sum of its proper divisors (19909156490944).

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

10200440210240 is a wasteful number, since it uses less digits than its factorization.

10200440210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6533465 (or 6533455 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10200440210240 its reverse (4201204400201), we get a palindrome (14401644610441).

The spelling of 10200440210240 in words is "ten trillion, two hundred billion, four hundred forty million, two hundred ten thousand, two hundred forty".