4332651840 has 252 divisors, whose sum is σ = 16381770132. Its totient is φ = 1050255360.

The previous prime is 4332651839. The next prime is 4332651877. The reversal of 4332651840 is 481562334.

It can be written as a sum of positive squares in 2 ways, for example, as 1020419136 + 3312232704 = 31944^2 + 57552^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 4332651795 and 4332651804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 342264 + ... + 354696.

Almost surely, 2^4332651840 is an apocalyptic number.

4332651840 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 4332651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8190885066).

4332651840 is an abundant number, since it is smaller than the sum of its proper divisors (12049118292).

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

4332651840 is a wasteful number, since it uses less digits than its factorization.

4332651840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12478 (or 12454 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4332651840 is about 65822.8823434526. The cubic root of 4332651840 is about 1630.2389452360.

The spelling of 4332651840 in words is "four billion, three hundred thirty-two million, six hundred fifty-one thousand, eight hundred forty".