4201144010440 has 32 divisors (see below), whose sum is σ = 10179695103480. Its totient is φ = 1551191634432.

The previous prime is 4201144010419. The next prime is 4201144010443. The reversal of 4201144010440 is 440104411024.

It can be written as a sum of positive squares in 4 ways, for example, as 1387453121604 + 2813690888836 = 1177902^2 + 1677406^2 .

It is a super-2 number, since 2×4201144010440² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4201144010443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4039561029 + ... + 4039562068.

Almost surely, 2^{4201144010440} is an apocalyptic number.

4201144010440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4201144010440 is an abundant number, since it is smaller than the sum of its proper divisors (5978551093040).

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

4201144010440 is a wasteful number, since it uses less digits than its factorization.

4201144010440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8079123121 (or 8079123117 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 4201144010440 its reverse (440104411024), we get a palindrome (4641248421464).

The spelling of 4201144010440 in words is "four trillion, two hundred one billion, one hundred forty-four million, ten thousand, four hundred forty".