10400144240 has 40 divisors (see below), whose sum is σ = 24196414128. Its totient is φ = 4157291520.

The previous prime is 10400144239. The next prime is 10400144243. The reversal of 10400144240 is 4244100401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400144243) 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 7 ways as a sum of consecutive naturals, for example, 80024 + ... + 164936.

Almost surely, 2^10400144240 is an apocalyptic number.

10400144240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400144240 is an abundant number, since it is smaller than the sum of its proper divisors (13796269888).

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

10400144240 is a wasteful number, since it uses less digits than its factorization.

10400144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86457 (or 86451 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10400144240 its reverse (4244100401), we get a palindrome (14644244641).

The spelling of 10400144240 in words is "ten billion, four hundred million, one hundred forty-four thousand, two hundred forty".