10333020040 has 192 divisors, whose sum is σ = 28595851200. Its totient is φ = 3341302272.

The previous prime is 10333020001. The next prime is 10333020083. The reversal of 10333020040 is 4002033301.

It is a junction number, because it is equal to n+sod(n) for n = 10333019996 and 10333020023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10910847 + ... + 10911793.

It is an arithmetic number, because the mean of its divisors is an integer number (148936725).

Almost surely, 2^10333020040 is an apocalyptic number.

10333020040 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 10333020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14297925600).

10333020040 is an abundant number, since it is smaller than the sum of its proper divisors (18262831160).

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

10333020040 is a wasteful number, since it uses less digits than its factorization.

10333020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 10333020040 its reverse (4002033301), we get a palindrome (14335053341).

The spelling of 10333020040 in words is "ten billion, three hundred thirty-three million, twenty thousand, forty".