415241866080 has 288 divisors, whose sum is σ = 1428495554304. Its totient is φ = 109836776448.

The previous prime is 415241866079. The next prime is 415241866103. The reversal of 415241866080 is 80668142514.

It is a happy number.

415241866080 is a `hidden beast` number, since 4 + 1 + 5 + 24 + 18 + 6 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135388707 + ... + 135391773.

It is an arithmetic number, because the mean of its divisors is an integer number (4960054008).

Almost surely, 2^415241866080 is an apocalyptic number.

415241866080 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 415241866080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714247777152).

415241866080 is an abundant number, since it is smaller than the sum of its proper divisors (1013253688224).

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

415241866080 is a wasteful number, since it uses less digits than its factorization.

415241866080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3818 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 415241866080 in words is "four hundred fifteen billion, two hundred forty-one million, eight hundred sixty-six thousand, eighty".