41461945728 has 256 divisors, whose sum is σ = 136376317440. Its totient is φ = 10889625600.

The previous prime is 41461945727. The next prime is 41461945741. The reversal of 41461945728 is 82754916414.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41461945727) 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, 1954378 + ... + 1975478.

It is an arithmetic number, because the mean of its divisors is an integer number (532719990).

Almost surely, 2^41461945728 is an apocalyptic number.

41461945728 is a gapful number since it is divisible by the number (48) 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 41461945728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68188158720).

41461945728 is an abundant number, since it is smaller than the sum of its proper divisors (94914371712).

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

41461945728 is a wasteful number, since it uses less digits than its factorization.

41461945728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21185 (or 21173 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The spelling of 41461945728 in words is "forty-one billion, four hundred sixty-one million, nine hundred forty-five thousand, seven hundred twenty-eight".