10333110400 has 48 divisors (see below), whose sum is σ = 25526019690. Its totient is φ = 4133242880.

The previous prime is 10333110383. The next prime is 10333110413. The reversal of 10333110400 is 401133301.

It can be written as a sum of positive squares in 3 ways, for example, as 10020810816 + 312299584 = 100104^2 + 17672^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1611349 + ... + 1617748.

Almost surely, 2^10333110400 is an apocalyptic number.

10333110400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10333110400 is an abundant number, since it is smaller than the sum of its proper divisors (15192909290).

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

10333110400 is an equidigital number, since it uses as much as digits as its factorization.

10333110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3229121 (or 3229104 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10333110400 its reverse (401133301), we get a palindrome (10734243701).

The spelling of 10333110400 in words is "ten billion, three hundred thirty-three million, one hundred ten thousand, four hundred".