415623324960 has 960 divisors, whose sum is σ = 1673571715200. Its totient is φ = 96483115008.

The previous prime is 415623324959. The next prime is 415623324989. The reversal of 415623324960 is 69423326514.

415623324960 is a `hidden beast` number, since 4 + 1 + 562 + 3 + 3 + 24 + 9 + 60 = 666.

It is a super-4 number, since 4×415623324960⁴ (a number of 48 digits) contains 4444 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 180000286 + ... + 180002594.

It is an arithmetic number, because the mean of its divisors is an integer number (1743303870).

Almost surely, 2^415623324960 is an apocalyptic number.

415623324960 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 415623324960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836785857600).

415623324960 is an abundant number, since it is smaller than the sum of its proper divisors (1257948390240).

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

415623324960 is a wasteful number, since it uses less digits than its factorization.

415623324960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 415623324960 in words is "four hundred fifteen billion, six hundred twenty-three million, three hundred twenty-four thousand, nine hundred sixty".