10200013104240 has 320 divisors, whose sum is σ = 36989571801600. Its totient is φ = 2576352946176.

The previous prime is 10200013104199. The next prime is 10200013104241. The reversal of 10200013104240 is 4240131000201.

10200013104240 is a `hidden beast` number, since 10 + 200 + 0 + 1 + 31 + 0 + 424 + 0 = 666.

It is a super-2 number, since 2×10200013104240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200013104241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 245685724 + ... + 245727236.

It is an arithmetic number, because the mean of its divisors is an integer number (115592411880).

Almost surely, 2^{10200013104240} is an apocalyptic number.

10200013104240 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 10200013104240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18494785900800).

10200013104240 is an abundant number, since it is smaller than the sum of its proper divisors (26789558697360).

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

10200013104240 is a wasteful number, since it uses less digits than its factorization.

10200013104240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47541 (or 47529 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10200013104240 its reverse (4240131000201), we get a palindrome (14440144104441).

The spelling of 10200013104240 in words is "ten trillion, two hundred billion, thirteen million, one hundred four thousand, two hundred forty".