10113042119040 has 1024 divisors, whose sum is σ = 41547534336000. Its totient is φ = 2305508106240.

The previous prime is 10113042119021. The next prime is 10113042119083. The reversal of 10113042119040 is 4091124031101.

10113042119040 is a `hidden beast` number, since 1 + 0 + 1 + 13 + 0 + 421 + 190 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10113042118995 and 10113042119013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4516766241 + ... + 4516768479.

It is an arithmetic number, because the mean of its divisors is an integer number (40573764000).

Almost surely, 2^{10113042119040} is an apocalyptic number.

10113042119040 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 10113042119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20773767168000).

10113042119040 is an abundant number, since it is smaller than the sum of its proper divisors (31434492216960).

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

10113042119040 is an frugal number, since it uses more digits than its factorization.

10113042119040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 10113042119040 in words is "ten trillion, one hundred thirteen billion, forty-two million, one hundred nineteen thousand, forty".