4162013000 has 128 divisors (see below), whose sum is σ = 10047248640. Its totient is φ = 1612800000.

The previous prime is 4162012997. The next prime is 4162013017. The reversal of 4162013000 is 3102614.

It is a self number, because there is not a number n which added to its sum of digits gives 4162013000.

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, 6492680 + ... + 6493320.

It is an arithmetic number, because the mean of its divisors is an integer number (78494130).

Almost surely, 2^4162013000 is an apocalyptic number.

4162013000 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 4162013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023624320).

4162013000 is an abundant number, since it is smaller than the sum of its proper divisors (5885235640).

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

4162013000 is a wasteful number, since it uses less digits than its factorization.

4162013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 4162013000 is about 64513.6652190836. The cubic root of 4162013000 is about 1608.5496757369.

Adding to 4162013000 its reverse (3102614), we get a palindrome (4165115614).

The spelling of 4162013000 in words is "four billion, one hundred sixty-two million, thirteen thousand".