41421737434896 has 1440 divisors, whose sum is σ = 158227088318208. Its totient is φ = 9987758161920.

The previous prime is 41421737434853. The next prime is 41421737434943. The reversal of 41421737434896 is 69843473712414.

It is a happy number.

41421737434896 is a `hidden beast` number, since 4 + 1 + 4 + 217 + 3 + 74 + 348 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7626905301 + ... + 7626910731.

Almost surely, 2^{41421737434896} 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 41421737434896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79113544159104).

41421737434896 is an abundant number, since it is smaller than the sum of its proper divisors (116805350883312).

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

41421737434896 is a wasteful number, since it uses less digits than its factorization.

41421737434896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5629 (or 5613 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 41421737434896 in words is "forty-one trillion, four hundred twenty-one billion, seven hundred thirty-seven million, four hundred thirty-four thousand, eight hundred ninety-six".