10741849705440 has 576 divisors, whose sum is σ = 42861716352000. Its totient is φ = 2448758946816.

The previous prime is 10741849705421. The next prime is 10741849705453. The reversal of 10741849705440 is 4450794814701.

10741849705440 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 1 + 8 + 4 + 97 + 0 + 544 + 0 = 666.

It is a super-2 number, since 2×10741849705440² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 187166989 + ... + 187224371.

It is an arithmetic number, because the mean of its divisors is an integer number (74412702000).

Almost surely, 2^{10741849705440} is an apocalyptic number.

10741849705440 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 10741849705440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21430858176000).

10741849705440 is an abundant number, since it is smaller than the sum of its proper divisors (32119866646560).

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

10741849705440 is a wasteful number, since it uses less digits than its factorization.

10741849705440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57804 (or 57779 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 10741849705440 in words is "ten trillion, seven hundred forty-one billion, eight hundred forty-nine million, seven hundred five thousand, four hundred forty".