10741463040 has 768 divisors, whose sum is σ = 45287424000. Its totient is φ = 2105671680.

The previous prime is 10741463027. The next prime is 10741463041. The reversal of 10741463040 is 4036414701.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10741462989 and 10741463007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10741463041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44943241 + ... + 44943479.

It is an arithmetic number, because the mean of its divisors is an integer number (58968000).

Almost surely, 2^10741463040 is an apocalyptic number.

10741463040 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 10741463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22643712000).

10741463040 is an abundant number, since it is smaller than the sum of its proper divisors (34545960960).

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

10741463040 is a wasteful number, since it uses less digits than its factorization.

10741463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

Adding to 10741463040 its reverse (4036414701), we get a palindrome (14777877741).

The spelling of 10741463040 in words is "ten billion, seven hundred forty-one million, four hundred sixty-three thousand, forty".