41407655100480 has 168 divisors, whose sum is σ = 144839065363200. Its totient is φ = 10854888072192.

The previous prime is 41407655100391. The next prime is 41407655100527. The reversal of 41407655100480 is 8400155670414.

41407655100480 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 7 + 65 + 5 + 100 + 480 = 666.

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, 121674640 + ... + 122014479.

Almost surely, 2^{41407655100480} is an apocalyptic number.

41407655100480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41407655100480 is an abundant number, since it is smaller than the sum of its proper divisors (103431410262720).

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

41407655100480 is a wasteful number, since it uses less digits than its factorization.

41407655100480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243689201 (or 243689188 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 41407655100480 in words is "forty-one trillion, four hundred seven billion, six hundred fifty-five million, one hundred thousand, four hundred eighty".