214540010404140 has 96 divisors (see below), whose sum is σ = 606011150304000. Its totient is φ = 56707321105152.

The previous prime is 214540010404081. The next prime is 214540010404151. The reversal of 214540010404140 is 41404010045412.

It is a super-2 number, since 2×214540010404140² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 214540010404098 and 214540010404107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15616395 + ... + 25941314.

It is an arithmetic number, because the mean of its divisors is an integer number (6312616149000).

Almost surely, 2^{214540010404140} is an apocalyptic number.

214540010404140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214540010404140 is an abundant number, since it is smaller than the sum of its proper divisors (391471139899860).

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

214540010404140 is a wasteful number, since it uses less digits than its factorization.

214540010404140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41558479 (or 41558477 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 214540010404140 its reverse (41404010045412), we get a palindrome (255944020449552).

The spelling of 214540010404140 in words is "two hundred fourteen trillion, five hundred forty billion, ten million, four hundred four thousand, one hundred forty".