415285350036480 has 3520 divisors, whose sum is σ = 1931588424843264. Its totient is φ = 83485325721600.

The previous prime is 415285350036463. The next prime is 415285350036517. The reversal of 415285350036480 is 84630053582514.

415285350036480 is a `hidden beast` number, since 4 + 1 + 5 + 2 + 8 + 53 + 500 + 3 + 6 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 119782331707 + ... + 119782335173.

Almost surely, 2^{415285350036480} is an apocalyptic number.

415285350036480 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 415285350036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965794212421632).

415285350036480 is an abundant number, since it is smaller than the sum of its proper divisors (1516303074806784).

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

415285350036480 is a wasteful number, since it uses less digits than its factorization.

415285350036480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 415285350036480 in words is "four hundred fifteen trillion, two hundred eighty-five billion, three hundred fifty million, thirty-six thousand, four hundred eighty".