415113024000 has 640 divisors, whose sum is σ = 1423330900992. Its totient is φ = 107284070400.

The previous prime is 415113023977. The next prime is 415113024019. The reversal of 415113024000 is 420311514.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1416767854 + ... + 1416768146.

Almost surely, 2^415113024000 is an apocalyptic number.

415113024000 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 415113024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711665450496).

415113024000 is an abundant number, since it is smaller than the sum of its proper divisors (1008217876992).

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

415113024000 is a wasteful number, since it uses less digits than its factorization.

415113024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 415113024000 its reverse (420311514), we get a palindrome (415533335514).

The spelling of 415113024000 in words is "four hundred fifteen billion, one hundred thirteen million, twenty-four thousand".