1034401440 has 48 divisors (see below), whose sum is σ = 3258366048. Its totient is φ = 275840256.

The previous prime is 1034401391. The next prime is 1034401453. The reversal of 1034401440 is 441044301.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1077022 + ... + 1077981.

It is an arithmetic number, because the mean of its divisors is an integer number (67882626).

Almost surely, 2^1034401440 is an apocalyptic number.

1034401440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034401440 is an abundant number, since it is smaller than the sum of its proper divisors (2223964608).

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

1034401440 is a wasteful number, since it uses less digits than its factorization.

1034401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155021 (or 2155013 counting only the distinct ones).

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

The square root of 1034401440 is about 32162.1118709577. Note that the first 3 decimals coincide. The cubic root of 1034401440 is about 1011.3381081227.

Adding to 1034401440 its reverse (441044301), we get a palindrome (1475445741).

The spelling of 1034401440 in words is "one billion, thirty-four million, four hundred one thousand, four hundred forty".