22333412330240 has 288 divisors, whose sum is σ = 60398294664960. Its totient is φ = 7837666099200.

The previous prime is 22333412330239. The next prime is 22333412330279. The reversal of 22333412330240 is 4203321433322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 22333412330197 and 22333412330206.

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, 1007314355 + ... + 1007336525.

It is an arithmetic number, because the mean of its divisors is an integer number (209716300920).

Almost surely, 2^{22333412330240} is an apocalyptic number.

22333412330240 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 22333412330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30199147332480).

22333412330240 is an abundant number, since it is smaller than the sum of its proper divisors (38064882334720).

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

22333412330240 is a wasteful number, since it uses less digits than its factorization.

22333412330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24699 (or 24685 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 22333412330240 its reverse (4203321433322), we get a palindrome (26536733763562).

The spelling of 22333412330240 in words is "twenty-two trillion, three hundred thirty-three billion, four hundred twelve million, three hundred thirty thousand, two hundred forty".