4462413120 has 784 divisors, whose sum is σ = 18229771008. Its totient is φ = 1030164480.

The previous prime is 4462413061. The next prime is 4462413173. The reversal of 4462413120 is 213142644.

It is a happy number.

4462413120 is a `hidden beast` number, since 4 + 4 + 624 + 1 + 31 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 111 ways as a sum of consecutive naturals, for example, 94944937 + ... + 94944983.

Almost surely, 2^4462413120 is an apocalyptic number.

4462413120 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 4462413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9114885504).

4462413120 is an abundant number, since it is smaller than the sum of its proper divisors (13767357888).

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

4462413120 is a wasteful number, since it uses less digits than its factorization.

4462413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4462413120 is about 66801.2957958152. The cubic root of 4462413120 is about 1646.3541317789.

Adding to 4462413120 its reverse (213142644), we get a palindrome (4675555764).

The spelling of 4462413120 in words is "four billion, four hundred sixty-two million, four hundred thirteen thousand, one hundred twenty".