2333142400440 has 128 divisors (see below), whose sum is σ = 7088229181440. Its totient is φ = 614319691776.

The previous prime is 2333142400429. The next prime is 2333142400471. The reversal of 2333142400440 is 440042413332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2333142400398 and 2333142400407.

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, 3239169 + ... + 3893391.

It is an arithmetic number, because the mean of its divisors is an integer number (55376790480).

Almost surely, 2^{2333142400440} is an apocalyptic number.

2333142400440 is a gapful number since it is divisible by the number (20) 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 2333142400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544114590720).

2333142400440 is an abundant number, since it is smaller than the sum of its proper divisors (4755086781000).

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

2333142400440 is a wasteful number, since it uses less digits than its factorization.

2333142400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654613 (or 654609 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 2333142400440 its reverse (440042413332), we get a palindrome (2773184813772).

The spelling of 2333142400440 in words is "two trillion, three hundred thirty-three billion, one hundred forty-two million, four hundred thousand, four hundred forty".