4132790208 has 112 divisors (see below), whose sum is σ = 12176881920. Its totient is φ = 1374508800.

The previous prime is 4132790197. The next prime is 4132790209. The reversal of 4132790208 is 8020972314.

4132790208 is a `hidden beast` number, since 41 + 327 + 90 + 208 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132790209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 846013 + ... + 850883.

It is an arithmetic number, because the mean of its divisors is an integer number (108722160).

Almost surely, 2^4132790208 is an apocalyptic number.

4132790208 is a gapful number since it is divisible by the number (48) 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 4132790208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6088440960).

4132790208 is an abundant number, since it is smaller than the sum of its proper divisors (8044091712).

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

4132790208 is a wasteful number, since it uses less digits than its factorization.

4132790208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5383 (or 5367 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4132790208 is about 64286.7809740074. The cubic root of 4132790208 is about 1604.7761204017.

The spelling of 4132790208 in words is "four billion, one hundred thirty-two million, seven hundred ninety thousand, two hundred eight".