4062416000 has 64 divisors (see below), whose sum is σ = 10100221560. Its totient is φ = 1624960000.

The previous prime is 4062415991. The next prime is 4062416021. The reversal of 4062416000 is 6142604.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2195484736 + 1866931264 = 46856^2 + 43208^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110951 + ... + 142950.

Almost surely, 2^4062416000 is an apocalyptic number.

4062416000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4062416000 is an abundant number, since it is smaller than the sum of its proper divisors (6037805560).

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

4062416000 is an equidigital number, since it uses as much as digits as its factorization.

4062416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253930 (or 253908 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 4062416000 is about 63737.0849662894. The cubic root of 4062416000 is about 1595.6150770933.

Adding to 4062416000 its reverse (6142604), we get a palindrome (4068558604).

The spelling of 4062416000 in words is "four billion, sixty-two million, four hundred sixteen thousand".