4010132210240 has 168 divisors, whose sum is σ = 10560189801600. Its totient is φ = 1449159788544.

The previous prime is 4010132210237. The next prime is 4010132210243. The reversal of 4010132210240 is 420122310104.

It is an interprime number because it is at equal distance from previous prime (4010132210237) and next prime (4010132210243).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4010132210243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1752911 + ... + 3330609.

Almost surely, 2^{4010132210240} is an apocalyptic number.

4010132210240 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 4010132210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5280094900800).

4010132210240 is an abundant number, since it is smaller than the sum of its proper divisors (6550057591360).

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

4010132210240 is a wasteful number, since it uses less digits than its factorization.

4010132210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577789 (or 1577766 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 4010132210240 its reverse (420122310104), we get a palindrome (4430254520344).

The spelling of 4010132210240 in words is "four trillion, ten billion, one hundred thirty-two million, two hundred ten thousand, two hundred forty".