1010042992 has 80 divisors (see below), whose sum is σ = 2317502464. Its totient is φ = 417312000.

The previous prime is 1010042977. The next prime is 1010042993. The reversal of 1010042992 is 2992400101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1010042992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010042993) 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, 1461367 + ... + 1462057.

Almost surely, 2^1010042992 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 1010042992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158751232).

1010042992 is an abundant number, since it is smaller than the sum of its proper divisors (1307459472).

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

1010042992 is a wasteful number, since it uses less digits than its factorization.

1010042992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 1010042992 is about 31781.1735466140. The cubic root of 1010042992 is about 1003.3365192581.

The spelling of 1010042992 in words is "one billion, ten million, forty-two thousand, nine hundred ninety-two".