10741733130240 has 1008 divisors, whose sum is σ = 45084652861248. Its totient is φ = 2309618663424.

The previous prime is 10741733130143. The next prime is 10741733130251. The reversal of 10741733130240 is 4203133714701.

10741733130240 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 17 + 331 + 302 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 = 10741733130195 and 10741733130204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5615123524 + ... + 5615125436.

It is an arithmetic number, because the mean of its divisors is an integer number (44726838156).

Almost surely, 2^{10741733130240} is an apocalyptic number.

10741733130240 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 10741733130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22542326430624).

10741733130240 is an abundant number, since it is smaller than the sum of its proper divisors (34342919731008).

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

10741733130240 is an frugal number, since it uses more digits than its factorization.

10741733130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

Adding to 10741733130240 its reverse (4203133714701), we get a palindrome (14944866844941).

The spelling of 10741733130240 in words is "ten trillion, seven hundred forty-one billion, seven hundred thirty-three million, one hundred thirty thousand, two hundred forty".