4032829162440 has 192 divisors, whose sum is σ = 14153368320000. Its totient is φ = 989991092736.

The previous prime is 4032829162429. The next prime is 4032829162457. The reversal of 4032829162440 is 442619282304.

4032829162440 is a `hidden beast` number, since 4 + 0 + 3 + 28 + 29 + 162 + 440 = 666.

It is a super-2 number, since 2×4032829162440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543561 + ... + 2891559.

It is an arithmetic number, because the mean of its divisors is an integer number (73715460000).

Almost surely, 2^{4032829162440} is an apocalyptic number.

4032829162440 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 4032829162440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076684160000).

4032829162440 is an abundant number, since it is smaller than the sum of its proper divisors (10120539157560).

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

4032829162440 is a wasteful number, since it uses less digits than its factorization.

4032829162440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348396 (or 2348389 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 4032829162440 in words is "four trillion, thirty-two billion, eight hundred twenty-nine million, one hundred sixty-two thousand, four hundred forty".