10304400440010 has 32 divisors (see below), whose sum is σ = 24731005684032. Its totient is φ = 2747790714240.

The previous prime is 10304400439961. The next prime is 10304400440011. The reversal of 10304400440010 is 1004400440301.

10304400440010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10304400440010³ (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10304400440011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1375699 + ... + 4743558.

It is an arithmetic number, because the mean of its divisors is an integer number (772843927626).

Almost surely, 2^{10304400440010} is an apocalyptic number.

10304400440010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10304400440010 is an abundant number, since it is smaller than the sum of its proper divisors (14426605244022).

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

10304400440010 is a wasteful number, since it uses less digits than its factorization.

10304400440010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6175398.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10304400440010 its reverse (1004400440301), we get a palindrome (11308800880311).

The spelling of 10304400440010 in words is "ten trillion, three hundred four billion, four hundred million, four hundred forty thousand, ten".