415727484480 has 1680 divisors, whose sum is σ = 1949235843456. Its totient is φ = 81696522240.

The previous prime is 415727484457. The next prime is 415727484503. The reversal of 415727484480 is 84484727514.

It is a happy number.

415727484480 is a `hidden beast` number, since 4 + 15 + 7 + 2 + 74 + 84 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (415727484457) and next prime (415727484503).

It is a tau number, because it is divible by the number of its divisors (1680).

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 239 ways as a sum of consecutive naturals, for example, 720497952 + ... + 720498528.

Almost surely, 2^415727484480 is an apocalyptic number.

415727484480 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 415727484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974617921728).

415727484480 is an abundant number, since it is smaller than the sum of its proper divisors (1533508358976).

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

415727484480 is a wasteful number, since it uses less digits than its factorization.

415727484480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 8028160, while the sum is 54.

The spelling of 415727484480 in words is "four hundred fifteen billion, seven hundred twenty-seven million, four hundred eighty-four thousand, four hundred eighty".