4003134322240 has 224 divisors, whose sum is σ = 10134350978400. Its totient is φ = 1503263784960.

The previous prime is 4003134322217. The next prime is 4003134322321. The reversal of 4003134322240 is 422234313004.

It can be written as a sum of positive squares in 16 ways, for example, as 41537700864 + 3961596621376 = 203808^2 + 1990376^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4003134322199 and 4003134322208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 717276250 + ... + 717281830.

Almost surely, 2^{4003134322240} is an apocalyptic number.

4003134322240 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 4003134322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5067175489200).

4003134322240 is an abundant number, since it is smaller than the sum of its proper divisors (6131216656160).

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

4003134322240 is a wasteful number, since it uses less digits than its factorization.

4003134322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7753 (or 7743 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 4003134322240 its reverse (422234313004), we get a palindrome (4425368635244).

The spelling of 4003134322240 in words is "four trillion, three billion, one hundred thirty-four million, three hundred twenty-two thousand, two hundred forty".