4137205086 has 160 divisors (see below), whose sum is σ = 11151360000. Its totient is φ = 1120863744.

The previous prime is 4137205067. The next prime is 4137205087. The reversal of 4137205086 is 6805027314.

It is a self number, because there is not a number n which added to its sum of digits gives 4137205086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4137205087) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3311790 + ... + 3313038.

It is an arithmetic number, because the mean of its divisors is an integer number (69696000).

Almost surely, 2^4137205086 is an apocalyptic number.

4137205086 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4137205086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5575680000).

4137205086 is an abundant number, since it is smaller than the sum of its proper divisors (7014154914).

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

4137205086 is a wasteful number, since it uses less digits than its factorization.

4137205086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4137205086 is about 64321.1091788691. The cubic root of 4137205086 is about 1605.3473542899.

The spelling of 4137205086 in words is "four billion, one hundred thirty-seven million, two hundred five thousand, eighty-six".