4012131440 has 80 divisors (see below), whose sum is σ = 9667550880. Its totient is φ = 1546675200.

The previous prime is 4012131421. The next prime is 4012131443. The reversal of 4012131440 is 441312104.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4012131443) 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, 1625087 + ... + 1627553.

It is an arithmetic number, because the mean of its divisors is an integer number (120844386).

Almost surely, 2^4012131440 is an apocalyptic number.

4012131440 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 4012131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4833775440).

4012131440 is an abundant number, since it is smaller than the sum of its proper divisors (5655419440).

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

4012131440 is a wasteful number, since it uses less digits than its factorization.

4012131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210 (or 3204 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4012131440 is about 63341.3880492052. The cubic root of 4012131440 is about 1589.0042207149.

Adding to 4012131440 its reverse (441312104), we get a palindrome (4453443544).

The spelling of 4012131440 in words is "four billion, twelve million, one hundred thirty-one thousand, four hundred forty".