10141044480 has 720 divisors, whose sum is σ = 42203367360. Its totient is φ = 2277310464.

The previous prime is 10141044479. The next prime is 10141044593. The reversal of 10141044480 is 8444014101.

10141044480 is a `hidden beast` number, since 1 + 0 + 141 + 0 + 44 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64592562 + ... + 64592718.

It is an arithmetic number, because the mean of its divisors is an integer number (58615788).

Almost surely, 2^10141044480 is an apocalyptic number.

10141044480 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 10141044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21101683680).

10141044480 is an abundant number, since it is smaller than the sum of its proper divisors (32062322880).

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

10141044480 is an equidigital number, since it uses as much as digits as its factorization.

10141044480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 10141044480 its reverse (8444014101), we get a palindrome (18585058581).

The spelling of 10141044480 in words is "ten billion, one hundred forty-one million, forty-four thousand, four hundred eighty".