41633222134416 has 160 divisors (see below), whose sum is σ = 118238560247808. Its totient is φ = 12518513464320.

The previous prime is 41633222134373. The next prime is 41633222134417. The reversal of 41633222134416 is 61443122233614.

It is a super-2 number, since 2×41633222134416² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (41633222134417) 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, 165306601 + ... + 165558263.

Almost surely, 2^{41633222134416} 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 41633222134416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59119280123904).

41633222134416 is an abundant number, since it is smaller than the sum of its proper divisors (76605338113392).

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

41633222134416 is a wasteful number, since it uses less digits than its factorization.

41633222134416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254109 (or 254103 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The spelling of 41633222134416 in words is "forty-one trillion, six hundred thirty-three billion, two hundred twenty-two million, one hundred thirty-four thousand, four hundred sixteen".