41535476640 has 144 divisors (see below), whose sum is σ = 161988398208. Its totient is φ = 9493820928.

The previous prime is 41535476621. The next prime is 41535476659. The reversal of 41535476640 is 4667453514.

41535476640 is a `hidden beast` number, since 4 + 1 + 5 + 3 + 547 + 66 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (41535476621) and next prime (41535476659).

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 2050212 + ... + 2070371.

It is an arithmetic number, because the mean of its divisors is an integer number (1124919432).

Almost surely, 2^41535476640 is an apocalyptic number.

41535476640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41535476640 is an abundant number, since it is smaller than the sum of its proper divisors (120452921568).

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

41535476640 is a wasteful number, since it uses less digits than its factorization.

41535476640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4120611 (or 4120600 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 41535476640 in words is "forty-one billion, five hundred thirty-five million, four hundred seventy-six thousand, six hundred forty".