10033455440 has 80 divisors (see below), whose sum is σ = 23799579408. Its totient is φ = 3932418048.

The previous prime is 10033455431. The next prime is 10033455463. The reversal of 10033455440 is 4455433001.

It can be written as a sum of positive squares in 8 ways, for example, as 1423100176 + 8610355264 = 37724^2 + 92792^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5243924 + ... + 5245836.

Almost surely, 2^10033455440 is an apocalyptic number.

10033455440 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 10033455440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11899789704).

10033455440 is an abundant number, since it is smaller than the sum of its proper divisors (13766123968).

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

10033455440 is a wasteful number, since it uses less digits than its factorization.

10033455440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 10033455440 its reverse (4455433001), we get a palindrome (14488888441).

The spelling of 10033455440 in words is "ten billion, thirty-three million, four hundred fifty-five thousand, four hundred forty".