41825641956 has 96 divisors (see below), whose sum is σ = 116515983360. Its totient is φ = 11417687424.

The previous prime is 41825641867. The next prime is 41825641973. The reversal of 41825641956 is 65914652814.

It is a junction number, because it is equal to n+sod(n) for n = 41825641899 and 41825641908.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1763730 + ... + 1787286.

It is an arithmetic number, because the mean of its divisors is an integer number (1213708160).

Almost surely, 2^41825641956 is an apocalyptic number.

41825641956 is a gapful number since it is divisible by the number (46) 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 41825641956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58257991680).

41825641956 is an abundant number, since it is smaller than the sum of its proper divisors (74690341404).

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

41825641956 is a wasteful number, since it uses less digits than its factorization.

41825641956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24513 (or 24511 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 51.

The spelling of 41825641956 in words is "forty-one billion, eight hundred twenty-five million, six hundred forty-one thousand, nine hundred fifty-six".