10400440100 has 54 divisors (see below), whose sum is σ = 23106431250. Its totient is φ = 4063355520.

The previous prime is 10400440093. The next prime is 10400440147. The reversal of 10400440100 is 104400401.

It can be written as a sum of positive squares in 3 ways, for example, as 2462342884 + 7938097216 = 49622^2 + 89096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 156776 + ... + 213024.

It is an arithmetic number, because the mean of its divisors is an integer number (427896875).

Almost surely, 2^10400440100 is an apocalyptic number.

10400440100 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 10400440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11553215625).

10400440100 is an abundant number, since it is smaller than the sum of its proper divisors (12705991150).

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

10400440100 is a wasteful number, since it uses less digits than its factorization.

10400440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56349 (or 56299 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10400440100 its reverse (104400401), we get a palindrome (10504840501).

The spelling of 10400440100 in words is "ten billion, four hundred million, four hundred forty thousand, one hundred".