41049148320 has 144 divisors (see below), whose sum is σ = 140137452000. Its totient is φ = 10941967872.

The previous prime is 41049148297. The next prime is 41049148331. The reversal of 41049148320 is 2384194014.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5034487 + ... + 5042633.

It is an arithmetic number, because the mean of its divisors is an integer number (973176750).

Almost surely, 2^41049148320 is an apocalyptic number.

41049148320 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 41049148320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70068726000).

41049148320 is an abundant number, since it is smaller than the sum of its proper divisors (99088303680).

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

41049148320 is a wasteful number, since it uses less digits than its factorization.

41049148320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11667 (or 11656 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 41049148320 in words is "forty-one billion, forty-nine million, one hundred forty-eight thousand, three hundred twenty".