4112713440 has 480 divisors, whose sum is σ = 16775234784. Its totient is φ = 937820160.

The previous prime is 4112713417. The next prime is 4112713447. The reversal of 4112713440 is 443172114.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4112713447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2422672 + ... + 2424368.

Almost surely, 2^4112713440 is an apocalyptic number.

4112713440 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 4112713440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8387617392).

4112713440 is an abundant number, since it is smaller than the sum of its proper divisors (12662521344).

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

4112713440 is a wasteful number, since it uses less digits than its factorization.

4112713440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4112713440 is about 64130.4408218125. The cubic root of 4112713440 is about 1602.1732758751.

Adding to 4112713440 its reverse (443172114), we get a palindrome (4555885554).

The spelling of 4112713440 in words is "four billion, one hundred twelve million, seven hundred thirteen thousand, four hundred forty".