41828175360 has 640 divisors, whose sum is σ = 157399925760. Its totient is φ = 10507419648.

The previous prime is 41828175353. The next prime is 41828175377. The reversal of 41828175360 is 6357182814.

41828175360 is a `hidden beast` number, since 4 + 1 + 8 + 281 + 7 + 5 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×41828175360² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131949922 + ... + 131950238.

It is an arithmetic number, because the mean of its divisors is an integer number (245937384).

Almost surely, 2^41828175360 is an apocalyptic number.

41828175360 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 41828175360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78699962880).

41828175360 is an abundant number, since it is smaller than the sum of its proper divisors (115571750400).

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

41828175360 is a wasteful number, since it uses less digits than its factorization.

41828175360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 41828175360 in words is "forty-one billion, eight hundred twenty-eight million, one hundred seventy-five thousand, three hundred sixty".