212400413140240 has 80 divisors (see below), whose sum is σ = 538549830604800. Its totient is φ = 77432049317376.

The previous prime is 212400413140127. The next prime is 212400413140247. The reversal of 212400413140240 is 42041314004212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×212400413140240² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212400413140199 and 212400413140208.

It is not an unprimeable number, because it can be changed into a prime (212400413140247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1292520160 + ... + 1292684479.

It is an arithmetic number, because the mean of its divisors is an integer number (6731872882560).

Almost surely, 2^{212400413140240} is an apocalyptic number.

212400413140240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212400413140240 is an abundant number, since it is smaller than the sum of its proper divisors (326149417464560).

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

212400413140240 is a wasteful number, since it uses less digits than its factorization.

212400413140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585204744 (or 2585204738 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 212400413140240 its reverse (42041314004212), we get a palindrome (254441727144452).

It can be divided in two parts, 212400413 and 140240, that added together give a triangular number (212540653 = T₂₀₆₁₇).

The spelling of 212400413140240 in words is "two hundred twelve trillion, four hundred billion, four hundred thirteen million, one hundred forty thousand, two hundred forty".