10034001440 has 48 divisors (see below), whose sum is σ = 23711690520. Its totient is φ = 4012523520.

The previous prime is 10034001427. The next prime is 10034001457. The reversal of 10034001440 is 4410043001.

It can be written as a sum of positive squares in 4 ways, for example, as 9207553936 + 826447504 = 95956^2 + 28748^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 885410 + ... + 896670.

Almost surely, 2^10034001440 is an apocalyptic number.

10034001440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10034001440 is an abundant number, since it is smaller than the sum of its proper divisors (13677689080).

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

10034001440 is a wasteful number, since it uses less digits than its factorization.

10034001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16845 (or 16837 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10034001440 its reverse (4410043001), we get a palindrome (14444044441).

The spelling of 10034001440 in words is "ten billion, thirty-four million, one thousand, four hundred forty".