4132051000 has 256 divisors, whose sum is σ = 12195256320. Its totient is φ = 1272960000.

The previous prime is 4132050983. The next prime is 4132051003. The reversal of 4132051000 is 1502314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132051003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7930740 + ... + 7931260.

It is an arithmetic number, because the mean of its divisors is an integer number (47637720).

Almost surely, 2^4132051000 is an apocalyptic number.

4132051000 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 4132051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6097628160).

4132051000 is an abundant number, since it is smaller than the sum of its proper divisors (8063205320).

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

4132051000 is a wasteful number, since it uses less digits than its factorization.

4132051000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 4132051000 is about 64281.0314167407. The cubic root of 4132051000 is about 1604.6804357254.

Adding to 4132051000 its reverse (1502314), we get a palindrome (4133553314).

The spelling of 4132051000 in words is "four billion, one hundred thirty-two million, fifty-one thousand".