415113241200 has 720 divisors, whose sum is σ = 1592222778720. Its totient is φ = 92123136000.

The previous prime is 415113241189. The next prime is 415113241211. The reversal of 415113241200 is 2142311514.

It is an interprime number because it is at equal distance from previous prime (415113241189) and next prime (415113241211).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 986016990 + ... + 986017410.

It is an arithmetic number, because the mean of its divisors is an integer number (2211420526).

Almost surely, 2^415113241200 is an apocalyptic number.

415113241200 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 415113241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796111389360).

415113241200 is an abundant number, since it is smaller than the sum of its proper divisors (1177109537520).

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

415113241200 is a wasteful number, since it uses less digits than its factorization.

415113241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 415113241200 its reverse (2142311514), we get a palindrome (417255552714).

The spelling of 415113241200 in words is "four hundred fifteen billion, one hundred thirteen million, two hundred forty-one thousand, two hundred".