140414100420412 has 192 divisors, whose sum is σ = 318160913301504. Its totient is φ = 52698917779200.

The previous prime is 140414100420401. The next prime is 140414100420631. The reversal of 140414100420412 is 214024001414041.

It is a super-2 number, since 2×140414100420412² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3852114787 + ... + 3852151237.

It is an arithmetic number, because the mean of its divisors is an integer number (1657088090112).

Almost surely, 2^{140414100420412} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140414100420412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159080456650752).

140414100420412 is an abundant number, since it is smaller than the sum of its proper divisors (177746812881092).

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

140414100420412 is a wasteful number, since it uses less digits than its factorization.

140414100420412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40248 (or 40246 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 140414100420412 its reverse (214024001414041), we get a palindrome (354438101834453).

The spelling of 140414100420412 in words is "one hundred forty trillion, four hundred fourteen billion, one hundred million, four hundred twenty thousand, four hundred twelve".