219657838142340 has 144 divisors (see below), whose sum is σ = 717555595878576. Its totient is φ = 54069120000000.

The previous prime is 219657838142311. The next prime is 219657838142357. The reversal of 219657838142340 is 43241838756912.

It is a happy number.

219657838142340 is a `hidden beast` number, since 2 + 1 + 9 + 6 + 57 + 83 + 81 + 423 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2505312821124 + 217152525321216 = 1582818^2 + 14736096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294469840 + ... + 295214840.

It is an arithmetic number, because the mean of its divisors is an integer number (4983024971379).

It is a 3-persistent number, because k⋅219657838142340 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{219657838142340} is an apocalyptic number.

219657838142340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

219657838142340 is an abundant number, since it is smaller than the sum of its proper divisors (497897757736236).

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

219657838142340 is a wasteful number, since it uses less digits than its factorization.

219657838142340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871030 (or 871025 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 219657838142340 in words is "two hundred nineteen trillion, six hundred fifty-seven billion, eight hundred thirty-eight million, one hundred forty-two thousand, three hundred forty".