41814681036480 has 1120 divisors, whose sum is σ = 163308102737472. Its totient is φ = 10071923097600.

The previous prime is 41814681036467. The next prime is 41814681036533. The reversal of 41814681036480 is 8463018641814.

41814681036480 is a `hidden beast` number, since 4 + 1 + 8 + 146 + 8 + 10 + 3 + 6 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44626126572 + ... + 44626127508.

Almost surely, 2^{41814681036480} is an apocalyptic number.

41814681036480 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 41814681036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81654051368736).

41814681036480 is an abundant number, since it is smaller than the sum of its proper divisors (121493421700992).

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

41814681036480 is a wasteful number, since it uses less digits than its factorization.

41814681036480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 41814681036480 in words is "forty-one trillion, eight hundred fourteen billion, six hundred eighty-one million, thirty-six thousand, four hundred eighty".