10031434111440 has 160 divisors (see below), whose sum is σ = 39488820053760. Its totient is φ = 2292899222016.

The previous prime is 10031434111423. The next prime is 10031434111459. The reversal of 10031434111440 is 4411143413001.

10031434111440 is a `hidden beast` number, since 1 + 0 + 0 + 314 + 341 + 1 + 1 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331712199 + ... + 331742438.

It is an arithmetic number, because the mean of its divisors is an integer number (246805125336).

Almost surely, 2^{10031434111440} is an apocalyptic number.

10031434111440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031434111440 is an abundant number, since it is smaller than the sum of its proper divisors (29457385942320).

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

10031434111440 is a wasteful number, since it uses less digits than its factorization.

10031434111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663454666 (or 663454654 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10031434111440 its reverse (4411143413001), we get a palindrome (14442577524441).

The spelling of 10031434111440 in words is "ten trillion, thirty-one billion, four hundred thirty-four million, one hundred eleven thousand, four hundred forty".