415022332000 has 192 divisors, whose sum is σ = 1039033614528. Its totient is φ = 162892800000.

The previous prime is 415022331973. The next prime is 415022332019. The reversal of 415022332000 is 233220514.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45647455 + ... + 45656545.

It is an arithmetic number, because the mean of its divisors is an integer number (5411633409).

Almost surely, 2^415022332000 is an apocalyptic number.

415022332000 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 415022332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519516807264).

415022332000 is an abundant number, since it is smaller than the sum of its proper divisors (624011282528).

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

415022332000 is a wasteful number, since it uses less digits than its factorization.

415022332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9330 (or 9312 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 415022332000 its reverse (233220514), we get a palindrome (415255552514).

The spelling of 415022332000 in words is "four hundred fifteen billion, twenty-two million, three hundred thirty-two thousand".