4141136482560 has 2592 divisors, whose sum is σ = 19978668807552. Its totient is φ = 809321103360.

The previous prime is 4141136482531. The next prime is 4141136482597. The reversal of 4141136482560 is 652846311414.

4141136482560 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 1 + 3 + 6 + 4 + 82 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×4141136482560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2850058794 + ... + 2850060246.

It is an arithmetic number, because the mean of its divisors is an integer number (7707819756).

Almost surely, 2^{4141136482560} is an apocalyptic number.

4141136482560 is a gapful number since it is divisible by the number (40) 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 4141136482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9989334403776).

4141136482560 is an abundant number, since it is smaller than the sum of its proper divisors (15837532324992).

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

4141136482560 is a wasteful number, since it uses less digits than its factorization.

4141136482560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4141136482560 in words is "four trillion, one hundred forty-one billion, one hundred thirty-six million, four hundred eighty-two thousand, five hundred sixty".