1012042140 has 96 divisors (see below), whose sum is σ = 2903040000. Its totient is φ = 263357952.

The previous prime is 1012042139. The next prime is 1012042189. The reversal of 1012042140 is 412402101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420661 + ... + 423059.

It is an arithmetic number, because the mean of its divisors is an integer number (30240000).

Almost surely, 2^1012042140 is an apocalyptic number.

1012042140 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 1012042140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520000).

1012042140 is an abundant number, since it is smaller than the sum of its proper divisors (1890997860).

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

1012042140 is a wasteful number, since it uses less digits than its factorization.

1012042140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1012042140 is about 31812.6097640543. The cubic root of 1012042140 is about 1003.9980410326.

Adding to 1012042140 its reverse (412402101), we get a palindrome (1424444241).

The spelling of 1012042140 in words is "one billion, twelve million, forty-two thousand, one hundred forty".