415211132000 has 96 divisors (see below), whose sum is σ = 1165912937280. Its totient is φ = 142358092800.

The previous prime is 415211131981. The next prime is 415211132027. The reversal of 415211132000 is 231112514.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7386485 + ... + 7442484.

It is an arithmetic number, because the mean of its divisors is an integer number (12144926430).

Almost surely, 2^415211132000 is an apocalyptic number.

415211132000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415211132000 is an abundant number, since it is smaller than the sum of its proper divisors (750701805280).

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

415211132000 is a wasteful number, since it uses less digits than its factorization.

415211132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14829001 (or 14828983 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 415211132000 its reverse (231112514), we get a palindrome (415442244514).

The spelling of 415211132000 in words is "four hundred fifteen billion, two hundred eleven million, one hundred thirty-two thousand".