41295271680 has 324 divisors, whose sum is σ = 154720624968. Its totient is φ = 10164510720.

The previous prime is 41295271663. The next prime is 41295271697. The reversal of 41295271680 is 8617259214.

41295271680 is a `hidden beast` number, since 41 + 2 + 9 + 527 + 1 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (41295271663) and next prime (41295271697).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1936275 + ... + 1957485.

Almost surely, 2^41295271680 is an apocalyptic number.

41295271680 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 41295271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77360312484).

41295271680 is an abundant number, since it is smaller than the sum of its proper divisors (113425353288).

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

41295271680 is a wasteful number, since it uses less digits than its factorization.

41295271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21264 (or 21234 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 41295271680 in words is "forty-one billion, two hundred ninety-five million, two hundred seventy-one thousand, six hundred eighty".