1011034440 has 256 divisors, whose sum is σ = 3668716800. Its totient is φ = 246177792.

The previous prime is 1011034439. The next prime is 1011034469. The reversal of 1011034440 is 444301101.

It is a super-2 number, since 2×1011034440² = 2044381277732227200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1501944 + ... + 1502616.

It is an arithmetic number, because the mean of its divisors is an integer number (14330925).

Almost surely, 2^1011034440 is an apocalyptic number.

1011034440 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 1011034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834358400).

1011034440 is an abundant number, since it is smaller than the sum of its proper divisors (2657682360).

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

1011034440 is a wasteful number, since it uses less digits than its factorization.

1011034440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1011034440 is about 31796.7677602614. The cubic root of 1011034440 is about 1003.6647002332.

Adding to 1011034440 its reverse (444301101), we get a palindrome (1455335541).

The spelling of 1011034440 in words is "one billion, eleven million, thirty-four thousand, four hundred forty".