212134323421440 has 324 divisors, whose sum is σ = 853793302631724. Its totient is φ = 48487845224448.

The previous prime is 212134323421439. The next prime is 212134323421451. The reversal of 212134323421440 is 44124323431212.

212134323421440 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 3 + 432 + 3 + 4 + 214 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33948987883776 + 178185335537664 = 5826576^2 + 13348608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 212134323421395 and 212134323421404.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187337947 + ... + 188466906.

Almost surely, 2^{212134323421440} is an apocalyptic number.

212134323421440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212134323421440 is an abundant number, since it is smaller than the sum of its proper divisors (641658979210284).

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

212134323421440 is a wasteful number, since it uses less digits than its factorization.

212134323421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375804894 (or 375804870 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 212134323421440 its reverse (44124323431212), we get a palindrome (256258646852652).

The spelling of 212134323421440 in words is "two hundred twelve trillion, one hundred thirty-four billion, three hundred twenty-three million, four hundred twenty-one thousand, four hundred forty".