41621251133952 has 1080 divisors, whose sum is σ = 148960943795664. Its totient is φ = 11568066306048.

The previous prime is 41621251133941. The next prime is 41621251133971. The reversal of 41621251133952 is 25933115212614.

41621251133952 is a `hidden beast` number, since 4 + 1 + 6 + 2 + 1 + 251 + 1 + 3 + 395 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41621251133898 and 41621251133907.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8345947203 + ... + 8345952189.

Almost surely, 2^{41621251133952} is an apocalyptic number.

41621251133952 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 41621251133952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74480471897832).

41621251133952 is an abundant number, since it is smaller than the sum of its proper divisors (107339692661712).

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

41621251133952 is an frugal number, since it uses more digits than its factorization.

41621251133952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5108 (or 5036 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 41621251133952 in words is "forty-one trillion, six hundred twenty-one billion, two hundred fifty-one million, one hundred thirty-three thousand, nine hundred fifty-two".