41967557830656 has 384 divisors, whose sum is σ = 127317061872000. Its totient is φ = 13652258586624.

The previous prime is 41967557830631. The next prime is 41967557830657. The reversal of 41967557830656 is 65603875576914.

41967557830656 is a `hidden beast` number, since 4 + 1 + 9 + 6 + 7 + 557 + 8 + 3 + 0 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×41967557830656² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (41967557830657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3064884546 + ... + 3064898238.

It is an arithmetic number, because the mean of its divisors is an integer number (331554848625).

Almost surely, 2^{41967557830656} 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 41967557830656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63658530936000).

41967557830656 is an abundant number, since it is smaller than the sum of its proper divisors (85349504041344).

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

41967557830656 is a wasteful number, since it uses less digits than its factorization.

41967557830656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15056 (or 15030 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 72.

The spelling of 41967557830656 in words is "forty-one trillion, nine hundred sixty-seven billion, five hundred fifty-seven million, eight hundred thirty thousand, six hundred fifty-six".