10041201341040 has 80 divisors (see below), whose sum is σ = 31130614656000. Its totient is φ = 2677405046016.

The previous prime is 10041201340991. The next prime is 10041201341099. The reversal of 10041201341040 is 4014310214001.

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

It is a super-3 number, since 3×10041201341040³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10041201340998 and 10041201341016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 654621 + ... + 4528899.

It is an arithmetic number, because the mean of its divisors is an integer number (389132683200).

Almost surely, 2^{10041201341040} is an apocalyptic number.

10041201341040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10041201341040 is an abundant number, since it is smaller than the sum of its proper divisors (21089413314960).

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

10041201341040 is a wasteful number, since it uses less digits than its factorization.

10041201341040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3885094 (or 3885088 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10041201341040 its reverse (4014310214001), we get a palindrome (14055511555041).

The spelling of 10041201341040 in words is "ten trillion, forty-one billion, two hundred one million, three hundred forty-one thousand, forty".