4022202325440 has 672 divisors, whose sum is σ = 14099744272896. Its totient is φ = 970761093120.

The previous prime is 4022202325439. The next prime is 4022202325451. The reversal of 4022202325440 is 445232022204.

It is a super-2 number, since 2×4022202325440² (a number of 26 digits) contains 22 as substring.

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 = 4022202325398 and 4022202325407.

It is a congruent number.

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, 5413461709 + ... + 5413462451.

Almost surely, 2^{4022202325440} is an apocalyptic number.

4022202325440 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 4022202325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7049872136448).

4022202325440 is an abundant number, since it is smaller than the sum of its proper divisors (10077541947456).

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

4022202325440 is a wasteful number, since it uses less digits than its factorization.

4022202325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 4022202325440 its reverse (445232022204), we get a palindrome (4467434347644).

The spelling of 4022202325440 in words is "four trillion, twenty-two billion, two hundred two million, three hundred twenty-five thousand, four hundred forty".