415333027872 has 768 divisors, whose sum is σ = 1455084933120. Its totient is φ = 112821755904.

The previous prime is 415333027861. The next prime is 415333027883. The reversal of 415333027872 is 278720333514.

It is a happy number.

415333027872 is a `hidden beast` number, since 4 + 1 + 533 + 30 + 2 + 7 + 87 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (415333027861) and next prime (415333027883).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1782545068 + ... + 1782545300.

It is an arithmetic number, because the mean of its divisors is an integer number (1894641840).

Almost surely, 2^415333027872 is an apocalyptic number.

415333027872 is a gapful number since it is divisible by the number (42) 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 415333027872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727542466560).

415333027872 is an abundant number, since it is smaller than the sum of its proper divisors (1039751905248).

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

415333027872 is a wasteful number, since it uses less digits than its factorization.

415333027872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 415333027872 in words is "four hundred fifteen billion, three hundred thirty-three million, twenty-seven thousand, eight hundred seventy-two".