1010434440 has 256 divisors, whose sum is σ = 3421440000. Its totient is φ = 237219840.

The previous prime is 1010434433. The next prime is 1010434483. The reversal of 1010434440 is 444340101.

It is a super-2 number, since 2×1010434440² = 2041955515076227200, which contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5077461 + ... + 5077659.

It is an arithmetic number, because the mean of its divisors is an integer number (13365000).

Almost surely, 2^1010434440 is an apocalyptic number.

1010434440 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 1010434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710720000).

1010434440 is an abundant number, since it is smaller than the sum of its proper divisors (2411005560).

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

1010434440 is a wasteful number, since it uses less digits than its factorization.

1010434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1010434440 is about 31787.3314387981. The cubic root of 1010434440 is about 1003.4661188065.

Adding to 1010434440 its reverse (444340101), we get a palindrome (1454774541).

It can be divided in two parts, 10104 and 34440, that added together give a palindrome (44544).

The spelling of 1010434440 in words is "one billion, ten million, four hundred thirty-four thousand, four hundred forty".