1411142040 has 512 divisors, whose sum is σ = 5971968000. Its totient is φ = 287884800.

The previous prime is 1411141997. The next prime is 1411142099. The reversal of 1411142040 is 402411141.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5904241 + ... + 5904479.

It is an arithmetic number, because the mean of its divisors is an integer number (11664000).

Almost surely, 2^1411142040 is an apocalyptic number.

1411142040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1411142040 is the 30672-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1411142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985984000).

1411142040 is an abundant number, since it is smaller than the sum of its proper divisors (4560825960).

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

1411142040 is a wasteful number, since it uses less digits than its factorization.

1411142040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 338 counting only the distinct ones).

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

The square root of 1411142040 is about 37565.1705706230. The cubic root of 1411142040 is about 1121.6488363137.

Adding to 1411142040 its reverse (402411141), we get a palindrome (1813553181).

The spelling of 1411142040 in words is "one billion, four hundred eleven million, one hundred forty-two thousand, forty".