4355401112440 has 256 divisors, whose sum is σ = 11614186321920. Its totient is φ = 1439158855680.

The previous prime is 4355401112431. The next prime is 4355401112441. The reversal of 4355401112440 is 442111045534.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4355401112396 and 4355401112405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4355401112441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 291850819 + ... + 291865741.

It is an arithmetic number, because the mean of its divisors is an integer number (45367915320).

Almost surely, 2^{4355401112440} is an apocalyptic number.

4355401112440 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 4355401112440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5807093160960).

4355401112440 is an abundant number, since it is smaller than the sum of its proper divisors (7258785209480).

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

4355401112440 is a wasteful number, since it uses less digits than its factorization.

4355401112440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15342 (or 15338 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 4355401112440 its reverse (442111045534), we get a palindrome (4797512157974).

The spelling of 4355401112440 in words is "four trillion, three hundred fifty-five billion, four hundred one million, one hundred twelve thousand, four hundred forty".