41352422425314 has 768 divisors, whose sum is σ = 119184168714240. Its totient is φ = 9290851891200.

The previous prime is 41352422425313. The next prime is 41352422425319.

41352422425314 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×41352422425314² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (41352422425313) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17353092567 + ... + 17353094949.

It is an arithmetic number, because the mean of its divisors is an integer number (155187719680).

Almost surely, 2^{41352422425314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41352422425314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59592084357120).

41352422425314 is an abundant number, since it is smaller than the sum of its proper divisors (77831746288926).

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

41352422425314 is a wasteful number, since it uses less digits than its factorization.

41352422425314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2716 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

The spelling of 41352422425314 in words is "forty-one trillion, three hundred fifty-two billion, four hundred twenty-two million, four hundred twenty-five thousand, three hundred fourteen".