41149928041600 has 384 divisors, whose sum is σ = 126234406195200. Its totient is φ = 12934826496000.

The previous prime is 41149928041589. The next prime is 41149928041603. The reversal of 41149928041600 is 614082994114.

It is a super-2 number, since 2×41149928041600² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41149928041603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11634135 + ... + 14753065.

It is an arithmetic number, because the mean of its divisors is an integer number (328735432800).

Almost surely, 2^{41149928041600} is an apocalyptic number.

41149928041600 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 41149928041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63117203097600).

41149928041600 is an abundant number, since it is smaller than the sum of its proper divisors (85084478153600).

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

41149928041600 is a wasteful number, since it uses less digits than its factorization.

41149928041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119012 (or 3118995 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The spelling of 41149928041600 in words is "forty-one trillion, one hundred forty-nine billion, nine hundred twenty-eight million, forty-one thousand, six hundred".