3222421246440 has 384 divisors, whose sum is σ = 11882301350400. Its totient is φ = 750455746560.

The previous prime is 3222421246423. The next prime is 3222421246511. The reversal of 3222421246440 is 446421242223.

It is a happy number.

3222421246440 is a `hidden beast` number, since 3 + 2 + 2 + 2 + 4 + 2 + 1 + 2 + 4 + 644 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3222421246395 and 3222421246404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11435884 + ... + 11714276.

It is an arithmetic number, because the mean of its divisors is an integer number (30943493100).

Almost surely, 2^{3222421246440} is an apocalyptic number.

3222421246440 is a gapful number since it is divisible by the number (30) 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 3222421246440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5941150675200).

3222421246440 is an abundant number, since it is smaller than the sum of its proper divisors (8659880103960).

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

3222421246440 is a wasteful number, since it uses less digits than its factorization.

3222421246440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278537 (or 278530 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 3222421246440 its reverse (446421242223), we get a palindrome (3668842488663).

The spelling of 3222421246440 in words is "three trillion, two hundred twenty-two billion, four hundred twenty-one million, two hundred forty-six thousand, four hundred forty".