41038239634560 has 1920 divisors, whose sum is σ = 177098355624960. Its totient is φ = 8861982474240.

The previous prime is 41038239634559. The next prime is 41038239634577. The reversal of 41038239634560 is 6543693283014.

41038239634560 is a `hidden beast` number, since 4 + 1 + 0 + 3 + 8 + 239 + 6 + 345 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×41038239634560² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 41038239634497 and 41038239634506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 20799917734 + ... + 20799919706.

It is an arithmetic number, because the mean of its divisors is an integer number (92238726888).

Almost surely, 2^{41038239634560} is an apocalyptic number.

41038239634560 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 41038239634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88549177812480).

41038239634560 is an abundant number, since it is smaller than the sum of its proper divisors (136060115990400).

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

41038239634560 is a wasteful number, since it uses less digits than its factorization.

41038239634560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 41038239634560 in words is "forty-one trillion, thirty-eight billion, two hundred thirty-nine million, six hundred thirty-four thousand, five hundred sixty".