10014431200440 has 64 divisors (see below), whose sum is σ = 30090017462400. Its totient is φ = 2666361754752.

The previous prime is 10014431200429. The next prime is 10014431200481. The reversal of 10014431200440 is 4400213441001.

It is a super-2 number, since 2×10014431200440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10014431200440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64816770 + ... + 64971089.

It is an arithmetic number, because the mean of its divisors is an integer number (470156522850).

Almost surely, 2^{10014431200440} is an apocalyptic number.

10014431200440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10014431200440 is an abundant number, since it is smaller than the sum of its proper divisors (20075586261960).

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

10014431200440 is a wasteful number, since it uses less digits than its factorization.

10014431200440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129788516 (or 129788512 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10014431200440 its reverse (4400213441001), we get a palindrome (14414644641441).

The spelling of 10014431200440 in words is "ten trillion, fourteen billion, four hundred thirty-one million, two hundred thousand, four hundred forty".