242121277440000 has 2280 divisors, whose sum is σ = 1043750685428880. Its totient is φ = 55292461056000.

The previous prime is 242121277439989. The next prime is 242121277440001. The reversal of 242121277440000 is 44772121242.

242121277440000 is a `hidden beast` number, since 2 + 42 + 121 + 27 + 74 + 400 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242121277440001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 216760319442 + ... + 216760320558.

It is an arithmetic number, because the mean of its divisors is an integer number (457785388346).

Almost surely, 2^{242121277440000} is an apocalyptic number.

242121277440000 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 242121277440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521875342714440).

242121277440000 is an abundant number, since it is smaller than the sum of its proper divisors (801629407988880).

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

242121277440000 is an frugal number, since it uses more digits than its factorization.

242121277440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 242121277440000 in words is "two hundred forty-two trillion, one hundred twenty-one billion, two hundred seventy-seven million, four hundred forty thousand".