214203020313040 has 160 divisors (see below), whose sum is σ = 550033491603456. Its totient is φ = 76926818542080.

The previous prime is 214203020312987. The next prime is 214203020313119. The reversal of 214203020313040 is 40313020302412.

It is a super-2 number, since 2×214203020313040² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214203020312996 and 214203020313014.

It is a congruent number.

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, 210358569 + ... + 211374391.

Almost surely, 2^{214203020313040} is an apocalyptic number.

214203020313040 is a gapful number since it is divisible by the number (20) 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 214203020313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275016745801728).

214203020313040 is an abundant number, since it is smaller than the sum of its proper divisors (335830471290416).

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

214203020313040 is a wasteful number, since it uses less digits than its factorization.

214203020313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018817 (or 1018811 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 214203020313040 its reverse (40313020302412), we get a palindrome (254516040615452).

The spelling of 214203020313040 in words is "two hundred fourteen trillion, two hundred three billion, twenty million, three hundred thirteen thousand, forty".