4322263440040 has 192 divisors, whose sum is σ = 12192400780560. Its totient is φ = 1366878965760.

The previous prime is 4322263440037. The next prime is 4322263440067. The reversal of 4322263440040 is 400443622234.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2496570642916 + 1825692797124 = 1580054^2 + 1351182^2 .

It is a super-2 number, since 2×4322263440040² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4322263439978 and 4322263440005.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33594874 + ... + 33723286.

Almost surely, 2^{4322263440040} is an apocalyptic number.

4322263440040 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 4322263440040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096200390280).

4322263440040 is an abundant number, since it is smaller than the sum of its proper divisors (7870137340520).

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

4322263440040 is a wasteful number, since it uses less digits than its factorization.

4322263440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129772 (or 129761 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

It can be divided in two parts, 4322 and 263440040, that added together give a palindrome (263444362).

The spelling of 4322263440040 in words is "four trillion, three hundred twenty-two billion, two hundred sixty-three million, four hundred forty thousand, forty".