41511325680 has 240 divisors, whose sum is σ = 154953448416. Its totient is φ = 9873377280.

The previous prime is 41511325663. The next prime is 41511325697. The reversal of 41511325680 is 8652311514.

41511325680 is a `hidden beast` number, since 41 + 51 + 1 + 3 + 2 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41511325663) and next prime (41511325697).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×41511325680² (a number of 22 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 370314 + ... + 469206.

Almost surely, 2^41511325680 is an apocalyptic number.

41511325680 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 41511325680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77476724208).

41511325680 is an abundant number, since it is smaller than the sum of its proper divisors (113442122736).

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

41511325680 is a wasteful number, since it uses less digits than its factorization.

41511325680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98976 (or 98967 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 41511325680 in words is "forty-one billion, five hundred eleven million, three hundred twenty-five thousand, six hundred eighty".