41749128960 has 864 divisors, whose sum is σ = 176764073472. Its totient is φ = 8288501760.

The previous prime is 41749128959. The next prime is 41749128977. The reversal of 41749128960 is 6982194714.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47604042 + ... + 47604918.

It is an arithmetic number, because the mean of its divisors is an integer number (204588048).

Almost surely, 2^41749128960 is an apocalyptic number.

41749128960 is a gapful number since it is divisible by the number (40) 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 41749128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88382036736).

41749128960 is an abundant number, since it is smaller than the sum of its proper divisors (135014944512).

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

41749128960 is a wasteful number, since it uses less digits than its factorization.

41749128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 41749128960 in words is "forty-one billion, seven hundred forty-nine million, one hundred twenty-eight thousand, nine hundred sixty".