1011040128 has 144 divisors (see below), whose sum is σ = 3384561960. Its totient is φ = 288852480.

The previous prime is 1011040127. The next prime is 1011040139. The reversal of 1011040128 is 8210401101.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1011040128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011040127) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47493 + ... + 65403.

Almost surely, 2^1011040128 is an apocalyptic number.

1011040128 is a gapful number since it is divisible by the number (18) 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 1011040128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692280980).

1011040128 is an abundant number, since it is smaller than the sum of its proper divisors (2373521832).

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

1011040128 is a wasteful number, since it uses less digits than its factorization.

1011040128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17945 (or 17923 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 1011040128 is about 31796.8572031891. The cubic root of 1011040128 is about 1003.6665824091. Note that the first 3 decimals are identical.

Adding to 1011040128 its reverse (8210401101), we get a palindrome (9221441229).

The spelling of 1011040128 in words is "one billion, eleven million, forty thousand, one hundred twenty-eight".