41064674112 has 336 divisors, whose sum is σ = 151656856960. Its totient is φ = 10665768960.

The previous prime is 41064674111. The next prime is 41064674143. The reversal of 41064674112 is 21147646014.

It is a happy number.

41064674112 is a `hidden beast` number, since 4 + 1 + 0 + 646 + 7 + 4 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×41064674112³ (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41064674111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1449588 + ... + 1477644.

Almost surely, 2^41064674112 is an apocalyptic number.

41064674112 is a gapful number since it is divisible by the number (42) 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 41064674112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75828428480).

41064674112 is an abundant number, since it is smaller than the sum of its proper divisors (110592182848).

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

41064674112 is a wasteful number, since it uses less digits than its factorization.

41064674112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28107 (or 28080 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 41064674112 in words is "forty-one billion, sixty-four million, six hundred seventy-four thousand, one hundred twelve".