140414441414112 has 72 divisors (see below), whose sum is σ = 399304795505616. Its totient is φ = 46804669894656.

The previous prime is 140414441414053. The next prime is 140414441414119. The reversal of 140414441414112 is 211414144414041.

140414441414112 is a `hidden beast` number, since 1 + 40 + 41 + 44 + 414 + 14 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140414441414119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136878528 + ... + 137900544.

It is an arithmetic number, because the mean of its divisors is an integer number (5545899937578).

Almost surely, 2^{140414441414112} is an apocalyptic number.

140414441414112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140414441414112 is an abundant number, since it is smaller than the sum of its proper divisors (258890354091504).

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

140414441414112 is a wasteful number, since it uses less digits than its factorization.

140414441414112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499080 (or 1499069 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

Adding to 140414441414112 its reverse (211414144414041), we get a palindrome (351828585828153).

The spelling of 140414441414112 in words is "one hundred forty trillion, four hundred fourteen billion, four hundred forty-one million, four hundred fourteen thousand, one hundred twelve".