411142140 has 144 divisors (see below), whose sum is σ = 1320883200. Its totient is φ = 103227264.

The previous prime is 411142139. The next prime is 411142141. The reversal of 411142140 is 41241114.

It is an interprime number because it is at equal distance from previous prime (411142139) and next prime (411142141).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411142141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 817129 + ... + 817631.

It is an arithmetic number, because the mean of its divisors is an integer number (9172800).

Almost surely, 2^411142140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411142140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660441600).

411142140 is an abundant number, since it is smaller than the sum of its proper divisors (909741060).

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

411142140 is a wasteful number, since it uses less digits than its factorization.

411142140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 411142140 is about 20276.6402542433. The cubic root of 411142140 is about 743.5850747459.

Adding to 411142140 its reverse (41241114), we get a palindrome (452383254).

The spelling of 411142140 in words is "four hundred eleven million, one hundred forty-two thousand, one hundred forty".