416133120 has 208 divisors, whose sum is σ = 1436635872. Its totient is φ = 102236160.

The previous prime is 416133103. The next prime is 416133127. The reversal of 416133120 is 21331614.

It is a tau number, because it is divible by the number of its divisors (208).

It is not an unprimeable number, because it can be changed into a prime (416133127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798460 + ... + 798980.

Almost surely, 2^416133120 is an apocalyptic number.

416133120 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 416133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718317936).

416133120 is an abundant number, since it is smaller than the sum of its proper divisors (1020502752).

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

416133120 is a wasteful number, since it uses less digits than its factorization.

416133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 416133120 is about 20399.3411658318. The cubic root of 416133120 is about 746.5818497761.

Adding to 416133120 its reverse (21331614), we get a palindrome (437464734).

The spelling of 416133120 in words is "four hundred sixteen million, one hundred thirty-three thousand, one hundred twenty".