10741012439040 has 2688 divisors, whose sum is σ = 46526063351040. Its totient is φ = 2348273369088.

The previous prime is 10741012439029. The next prime is 10741012439177. The reversal of 10741012439040 is 4093421014701.

10741012439040 is a `hidden beast` number, since 10 + 74 + 101 + 2 + 439 + 0 + 40 = 666.

It is a super-2 number, since 2×10741012439040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10741012438986 and 10741012439004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41793822592 + ... + 41793822848.

It is an arithmetic number, because the mean of its divisors is an integer number (17308803330).

Almost surely, 2^{10741012439040} is an apocalyptic number.

10741012439040 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 10741012439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23263031675520).

10741012439040 is an abundant number, since it is smaller than the sum of its proper divisors (35785050912000).

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

10741012439040 is a wasteful number, since it uses less digits than its factorization.

10741012439040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10741012439040 in words is "ten trillion, seven hundred forty-one billion, twelve million, four hundred thirty-nine thousand, forty".