41276472671616 has 768 divisors, whose sum is σ = 141921331200000. Its totient is φ = 10387920052224.

The previous prime is 41276472671579. The next prime is 41276472671659. The reversal of 41276472671616 is 61617627467214.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 41276472671616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4586779885 + ... + 4586788883.

It is an arithmetic number, because the mean of its divisors is an integer number (184793400000).

Almost surely, 2^{41276472671616} is an apocalyptic number.

41276472671616 is a gapful number since it is divisible by the number (46) 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 41276472671616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70960665600000).

41276472671616 is an abundant number, since it is smaller than the sum of its proper divisors (100644858528384).

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

41276472671616 is a wasteful number, since it uses less digits than its factorization.

41276472671616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9511 (or 9486 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 60.

The spelling of 41276472671616 in words is "forty-one trillion, two hundred seventy-six billion, four hundred seventy-two million, six hundred seventy-one thousand, six hundred sixteen".