4140405312 has 112 divisors (see below), whose sum is σ = 11192256000. Its totient is φ = 1350553600.

The previous prime is 4140405287. The next prime is 4140405319. The reversal of 4140405312 is 2135040414.

It is a super-2 number, since 2×4140405312² = 34285912295275634688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4140405319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1724689 + ... + 1727087.

Almost surely, 2^4140405312 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 4140405312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5596128000).

4140405312 is an abundant number, since it is smaller than the sum of its proper divisors (7051850688).

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

4140405312 is a wasteful number, since it uses less digits than its factorization.

4140405312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4140405312 is about 64345.9813197374. The cubic root of 4140405312 is about 1605.7611723267.

Adding to 4140405312 its reverse (2135040414), we get a palindrome (6275445726).

The spelling of 4140405312 in words is "four billion, one hundred forty million, four hundred five thousand, three hundred twelve".