1012141440 has 128 divisors (see below), whose sum is σ = 3584728800. Its totient is φ = 269899776.

The previous prime is 1012141421. The next prime is 1012141447. The reversal of 1012141440 is 441412101.

1012141440 is a `hidden beast` number, since 10 + 1 + 214 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012141447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12007 + ... + 46566.

Almost surely, 2^1012141440 is an apocalyptic number.

1012141440 is a gapful number since it is divisible by the number (10) 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 1012141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792364400).

1012141440 is an abundant number, since it is smaller than the sum of its proper divisors (2572587360).

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

1012141440 is an equidigital number, since it uses as much as digits as its factorization.

1012141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58601 (or 58583 counting only the distinct ones).

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

The square root of 1012141440 is about 31814.1704276569. The cubic root of 1012141440 is about 1004.0308768672.

Adding to 1012141440 its reverse (441412101), we get a palindrome (1453553541).

The spelling of 1012141440 in words is "one billion, twelve million, one hundred forty-one thousand, four hundred forty".