4233202400440 has 128 divisors (see below), whose sum is σ = 10706808873600. Its totient is φ = 1494587381760.

The previous prime is 4233202400431. The next prime is 4233202400473. The reversal of 4233202400440 is 440042023324.

It is a happy number.

It is a super-2 number, since 2×4233202400440² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4233202400399 and 4233202400408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37989126 + ... + 38100394.

It is an arithmetic number, because the mean of its divisors is an integer number (83646944325).

Almost surely, 2^{4233202400440} is an apocalyptic number.

4233202400440 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 4233202400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353404436800).

4233202400440 is an abundant number, since it is smaller than the sum of its proper divisors (6473606473160).

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

4233202400440 is a wasteful number, since it uses less digits than its factorization.

4233202400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114497 (or 114493 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 4233202400440 its reverse (440042023324), we get a palindrome (4673244423764).

The spelling of 4233202400440 in words is "four trillion, two hundred thirty-three billion, two hundred two million, four hundred thousand, four hundred forty".