10400440020 has 48 divisors (see below), whose sum is σ = 30653931840. Its totient is φ = 2627479296.

The previous prime is 10400440019. The next prime is 10400440021. The reversal of 10400440020 is 2004400401.

It is an interprime number because it is at equal distance from previous prime (10400440019) and next prime (10400440021).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400440021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4560457 + ... + 4562736.

It is an arithmetic number, because the mean of its divisors is an integer number (638623580).

Almost surely, 2^10400440020 is an apocalyptic number.

10400440020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400440020 is an abundant number, since it is smaller than the sum of its proper divisors (20253491820).

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

10400440020 is a wasteful number, since it uses less digits than its factorization.

10400440020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9123224 (or 9123222 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 10400440020 its reverse (2004400401), we get a palindrome (12404840421).

The spelling of 10400440020 in words is "ten billion, four hundred million, four hundred forty thousand, twenty".