1011040992 has 288 divisors, whose sum is σ = 3302208000. Its totient is φ = 291050496.

The previous prime is 1011040963. The next prime is 1011041039. The reversal of 1011040992 is 2990401101.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5080509 + ... + 5080707.

It is an arithmetic number, because the mean of its divisors is an integer number (11466000).

Almost surely, 2^1011040992 is an apocalyptic number.

1011040992 is a gapful number since it is divisible by the number (12) 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 1011040992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651104000).

1011040992 is an abundant number, since it is smaller than the sum of its proper divisors (2291167008).

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

1011040992 is a wasteful number, since it uses less digits than its factorization.

1011040992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 1011040992 is about 31796.8707894346. The cubic root of 1011040992 is about 1003.6668683087. Note that the first 3 decimals are identical.

The spelling of 1011040992 in words is "one billion, eleven million, forty thousand, nine hundred ninety-two".