4111214040 has 192 divisors, whose sum is σ = 14279522400. Its totient is φ = 1022201856.

The previous prime is 4111213999. The next prime is 4111214059. The reversal of 4111214040 is 404121114.

4111214040 is a `hidden beast` number, since 411 + 1 + 214 + 0 + 40 = 666.

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 47 ways as a sum of consecutive naturals, for example, 663999 + ... + 670161.

Almost surely, 2^4111214040 is an apocalyptic number.

4111214040 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 4111214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7139761200).

4111214040 is an abundant number, since it is smaller than the sum of its proper divisors (10168308360).

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

4111214040 is a wasteful number, since it uses less digits than its factorization.

4111214040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6306 (or 6299 counting only the distinct ones).

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

The square root of 4111214040 is about 64118.7495199337. The cubic root of 4111214040 is about 1601.9785471277.

Adding to 4111214040 its reverse (404121114), we get a palindrome (4515335154).

The spelling of 4111214040 in words is "four billion, one hundred eleven million, two hundred fourteen thousand, forty".