10544786461440 has 1152 divisors, whose sum is σ = 46841525821440. Its totient is φ = 2182256640000.

The previous prime is 10544786461393. The next prime is 10544786461441. The reversal of 10544786461440 is 4416468744501.

10544786461440 is a `hidden beast` number, since 1 + 0 + 54 + 478 + 64 + 61 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×10544786461440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10544786461441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 667933227 + ... + 667949013.

It is an arithmetic number, because the mean of its divisors is an integer number (40661046720).

Almost surely, 2^{10544786461440} is an apocalyptic number.

10544786461440 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 10544786461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23420762910720).

10544786461440 is an abundant number, since it is smaller than the sum of its proper divisors (36296739360000).

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

10544786461440 is a wasteful number, since it uses less digits than its factorization.

10544786461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16086 (or 16066 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 10544786461440 in words is "ten trillion, five hundred forty-four billion, seven hundred eighty-six million, four hundred sixty-one thousand, four hundred forty".