140041102140 has 144 divisors (see below), whose sum is σ = 426772958976. Its totient is φ = 37170432000.

The previous prime is 140041102139. The next prime is 140041102169. The reversal of 140041102140 is 41201140041.

140041102140 is a `hidden beast` number, since 1 + 40 + 0 + 411 + 0 + 214 + 0 = 666.

It is a super-2 number, since 2×140041102140² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 71778165 + ... + 71780115.

It is an arithmetic number, because the mean of its divisors is an integer number (2963701104).

Almost surely, 2^140041102140 is an apocalyptic number.

140041102140 is a gapful number since it is divisible by the number (10) 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 140041102140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213386479488).

140041102140 is an abundant number, since it is smaller than the sum of its proper divisors (286731856836).

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

140041102140 is a wasteful number, since it uses less digits than its factorization.

140041102140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3615 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 140041102140 its reverse (41201140041), we get a palindrome (181242242181).

The spelling of 140041102140 in words is "one hundred forty billion, forty-one million, one hundred two thousand, one hundred forty".