41607075299328 has 1536 divisors, whose sum is σ = 157555786752000. Its totient is φ = 10657812971520.

The previous prime is 41607075299233. The next prime is 41607075299389. The reversal of 41607075299328 is 82399257070614.

41607075299328 is a `hidden beast` number, since 4 + 1 + 6 + 0 + 70 + 7 + 529 + 9 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×41607075299328² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 48436641363 + ... + 48436642221.

It is an arithmetic number, because the mean of its divisors is an integer number (102575382000).

It is a 1-persistent number, because it is pandigital, but 2⋅41607075299328 = 83214150598656 is not.

Almost surely, 2^{41607075299328} is an apocalyptic number.

41607075299328 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 41607075299328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78777893376000).

41607075299328 is an abundant number, since it is smaller than the sum of its proper divisors (115948711452672).

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

41607075299328 is an frugal number, since it uses more digits than its factorization.

41607075299328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 41607075299328 in words is "forty-one trillion, six hundred seven billion, seventy-five million, two hundred ninety-nine thousand, three hundred twenty-eight".