4334401203440 has 160 divisors (see below), whose sum is σ = 12565508327424. Its totient is φ = 1350834462720.

The previous prime is 4334401203409. The next prime is 4334401203463. The reversal of 4334401203440 is 443021044334.

It is a junction number, because it is equal to n+sod(n) for n = 4334401203397 and 4334401203406.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 65305952 + ... + 65372288.

Almost surely, 2^{4334401203440} is an apocalyptic number.

4334401203440 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 4334401203440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6282754163712).

4334401203440 is an abundant number, since it is smaller than the sum of its proper divisors (8231107123984).

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

4334401203440 is a wasteful number, since it uses less digits than its factorization.

4334401203440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76975 (or 76969 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 4334401203440 its reverse (443021044334), we get a palindrome (4777422247774).

The spelling of 4334401203440 in words is "four trillion, three hundred thirty-four billion, four hundred one million, two hundred three thousand, four hundred forty".