10004106240 has 264 divisors, whose sum is σ = 35005173840. Its totient is φ = 2641526784.

The previous prime is 10004106227. The next prime is 10004106241. The reversal of 10004106240 is 4260140001.

10004106240 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 41 + 0 + 624 + 0 = 666.

It is a super-2 number, since 2×10004106240² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10004106241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4929546 + ... + 4931574.

Almost surely, 2^10004106240 is an apocalyptic number.

10004106240 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 10004106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17502586920).

10004106240 is an abundant number, since it is smaller than the sum of its proper divisors (25001067600).

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

10004106240 is a wasteful number, since it uses less digits than its factorization.

10004106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167 (or 2146 counting only the distinct ones).

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

Adding to 10004106240 its reverse (4260140001), we get a palindrome (14264246241).

The spelling of 10004106240 in words is "ten billion, four million, one hundred six thousand, two hundred forty".