242191030021920 has 2304 divisors, whose sum is σ = 1061692894080000. Its totient is φ = 51935339151360.

The previous prime is 242191030021891. The next prime is 242191030021933. The reversal of 242191030021920 is 29120030191242.

242191030021920 is a `hidden beast` number, since 2 + 421 + 9 + 10 + 3 + 0 + 0 + 219 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 79121537190 + ... + 79121540250.

It is an arithmetic number, because the mean of its divisors is an integer number (460804207500).

Almost surely, 2^{242191030021920} is an apocalyptic number.

242191030021920 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 242191030021920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530846447040000).

242191030021920 is an abundant number, since it is smaller than the sum of its proper divisors (819501864058080).

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

242191030021920 is a wasteful number, since it uses less digits than its factorization.

242191030021920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 242191030021920 in words is "two hundred forty-two trillion, one hundred ninety-one billion, thirty million, twenty-one thousand, nine hundred twenty".