4332153405440 has 272 divisors, whose sum is σ = 12016463451840. Its totient is φ = 1468551659520.

The previous prime is 4332153405439. The next prime is 4332153405467. The reversal of 4332153405440 is 445043512334.

It is a junction number, because it is equal to n+sod(n) for n = 4332153405394 and 4332153405403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204134030 + ... + 204155250.

Almost surely, 2^{4332153405440} is an apocalyptic number.

4332153405440 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 4332153405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6008231725920).

4332153405440 is an abundant number, since it is smaller than the sum of its proper divisors (7684310046400).

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

4332153405440 is an frugal number, since it uses more digits than its factorization.

4332153405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21354 (or 21324 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 38.

Adding to 4332153405440 its reverse (445043512334), we get a palindrome (4777196917774).

The spelling of 4332153405440 in words is "four trillion, three hundred thirty-two billion, one hundred fifty-three million, four hundred five thousand, four hundred forty".