1011024140 has 96 divisors (see below), whose sum is σ = 2474164224. Its totient is φ = 339897600.

The previous prime is 1011024137. The next prime is 1011024151. The reversal of 1011024140 is 414201101.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 1795499 + ... + 1796061.

It is an arithmetic number, because the mean of its divisors is an integer number (25772544).

Almost surely, 2^1011024140 is an apocalyptic number.

1011024140 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 1011024140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237082112).

1011024140 is an abundant number, since it is smaller than the sum of its proper divisors (1463140084).

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

1011024140 is a wasteful number, since it uses less digits than its factorization.

1011024140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1011024140 is about 31796.6057937007. The cubic root of 1011024140 is about 1003.6612919149.

Adding to 1011024140 its reverse (414201101), we get a palindrome (1425225241).

The spelling of 1011024140 in words is "one billion, eleven million, twenty-four thousand, one hundred forty".