10333071400 has 96 divisors (see below), whose sum is σ = 24717714840. Its totient is φ = 4014351360.

The previous prime is 10333071367. The next prime is 10333071443. The reversal of 10333071400 is 417033301.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 99321156 + 10233750244 = 9966^2 + 101162^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6311382 + ... + 6313018.

Almost surely, 2^10333071400 is an apocalyptic number.

10333071400 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 10333071400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12358857420).

10333071400 is an abundant number, since it is smaller than the sum of its proper divisors (14384643440).

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

10333071400 is a wasteful number, since it uses less digits than its factorization.

10333071400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The spelling of 10333071400 in words is "ten billion, three hundred thirty-three million, seventy-one thousand, four hundred".