10140404114016 has 288 divisors, whose sum is σ = 34756999699968. Its totient is φ = 2766350315520.

The previous prime is 10140404113997. The next prime is 10140404114059. The reversal of 10140404114016 is 61041140404101.

10140404114016 is a `hidden beast` number, since 1 + 0 + 140 + 404 + 114 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2854516 + ... + 5331891.

It is an arithmetic number, because the mean of its divisors is an integer number (120684026736).

Almost surely, 2^{10140404114016} is an apocalyptic number.

10140404114016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10140404114016 is an abundant number, since it is smaller than the sum of its proper divisors (24616595585952).

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

10140404114016 is a wasteful number, since it uses less digits than its factorization.

10140404114016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8186474 (or 8186463 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 10140404114016 its reverse (61041140404101), we get a palindrome (71181544518117).

The spelling of 10140404114016 in words is "ten trillion, one hundred forty billion, four hundred four million, one hundred fourteen thousand, sixteen".