140114322160416 has 144 divisors (see below), whose sum is σ = 402114666091320. Its totient is φ = 46275513016320.

The previous prime is 140114322160367. The next prime is 140114322160427. The reversal of 140114322160416 is 614061223411041.

140114322160416 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 1 + 4 + 32 + 2 + 1 + 604 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75411925472016 + 64702396688400 = 8684004^2 + 8043780^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93930486 + ... + 95410506.

Almost surely, 2^{140114322160416} is an apocalyptic number.

140114322160416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140114322160416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201057333045660).

140114322160416 is an abundant number, since it is smaller than the sum of its proper divisors (262000343930904).

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

140114322160416 is a wasteful number, since it uses less digits than its factorization.

140114322160416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483059 (or 1483048 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 140114322160416 its reverse (614061223411041), we get a palindrome (754175545571457).

The spelling of 140114322160416 in words is "one hundred forty trillion, one hundred fourteen billion, three hundred twenty-two million, one hundred sixty thousand, four hundred sixteen".