4051632000 has 512 divisors, whose sum is σ = 14898723840. Its totient is φ = 967680000.

The previous prime is 4051631993. The next prime is 4051632019. The reversal of 4051632000 is 2361504.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26831925 + ... + 26832075.

It is an arithmetic number, because the mean of its divisors is an integer number (29099070).

Almost surely, 2^4051632000 is an apocalyptic number.

4051632000 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 4051632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7449361920).

4051632000 is an abundant number, since it is smaller than the sum of its proper divisors (10847091840).

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

4051632000 is a wasteful number, since it uses less digits than its factorization.

4051632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 4051632000 is about 63652.4312182968. The cubic root of 4051632000 is about 1594.2019310442.

Adding to 4051632000 its reverse (2361504), we get a palindrome (4053993504).

The spelling of 4051632000 in words is "four billion, fifty-one million, six hundred thirty-two thousand".