4152162000 has 480 divisors, whose sum is σ = 16142181120. Its totient is φ = 914457600.

The previous prime is 4152161953. The next prime is 4152162013. The reversal of 4152162000 is 2612514.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8525757 + ... + 8526243.

It is an arithmetic number, because the mean of its divisors is an integer number (33629544).

Almost surely, 2^4152162000 is an apocalyptic number.

4152162000 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 4152162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8071090560).

4152162000 is an abundant number, since it is smaller than the sum of its proper divisors (11990019120).

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

4152162000 is a wasteful number, since it uses less digits than its factorization.

4152162000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 4152162000 is about 64437.2718230684. The cubic root of 4152162000 is about 1607.2795899187.

Adding to 4152162000 its reverse (2612514), we get a palindrome (4154774514).

The spelling of 4152162000 in words is "four billion, one hundred fifty-two million, one hundred sixty-two thousand".