41138742376512 has 560 divisors, whose sum is σ = 137762401233600. Its totient is φ = 12024109117440.

The previous prime is 41138742376507. The next prime is 41138742376643. The reversal of 41138742376512 is 21567324783114.

41138742376512 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 87 + 42 + 3 + 7 + 6 + 512 = 666.

It is a super-2 number, since 2×41138742376512² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1685104018 + ... + 1685128430.

Almost surely, 2^{41138742376512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41138742376512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68881200616800).

41138742376512 is an abundant number, since it is smaller than the sum of its proper divisors (96623658857088).

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

41138742376512 is a wasteful number, since it uses less digits than its factorization.

41138742376512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25496 (or 25477 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 41138742376512 in words is "forty-one trillion, one hundred thirty-eight billion, seven hundred forty-two million, three hundred seventy-six thousand, five hundred twelve".