41173086240 has 1152 divisors, whose sum is σ = 175001783040. Its totient is φ = 8977858560.

The previous prime is 41173086193. The next prime is 41173086257. The reversal of 41173086240 is 4268037114.

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

It is a junction number, because it is equal to n+sod(n) for n = 41173086195 and 41173086204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 496061239 + ... + 496061321.

It is an arithmetic number, because the mean of its divisors is an integer number (151911270).

Almost surely, 2^41173086240 is an apocalyptic number.

41173086240 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 41173086240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87500891520).

41173086240 is an abundant number, since it is smaller than the sum of its proper divisors (133828696800).

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

41173086240 is a wasteful number, since it uses less digits than its factorization.

41173086240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 41173086240 in words is "forty-one billion, one hundred seventy-three million, eighty-six thousand, two hundred forty".