4332695040 has 240 divisors, whose sum is σ = 15105961728. Its totient is φ = 1147650048.

The previous prime is 4332694973. The next prime is 4332695057. The reversal of 4332695040 is 405962334.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 4332694986 and 4332695004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3985377 + ... + 3986463.

Almost surely, 2^4332695040 is an apocalyptic number.

4332695040 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 4332695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7552980864).

4332695040 is an abundant number, since it is smaller than the sum of its proper divisors (10773266688).

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

4332695040 is a wasteful number, since it uses less digits than its factorization.

4332695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 4332695040 is about 65823.2104959945. The cubic root of 4332695040 is about 1630.2443634795.

The spelling of 4332695040 in words is "four billion, three hundred thirty-two million, six hundred ninety-five thousand, forty".