242102400114440 has 32 divisors (see below), whose sum is σ = 555008332342680. Its totient is φ = 95013772119552.

The previous prime is 242102400114401. The next prime is 242102400114457. The reversal of 242102400114440 is 44411004201242.

It can be written as a sum of positive squares in 4 ways, for example, as 152050157663044 + 90052242451396 = 12330862^2 + 9489586^2 .

It is a super-5 number, since 5×242102400114440⁵ (a number of 73 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57099620549 + ... + 57099624788.

Almost surely, 2^{242102400114440} is an apocalyptic number.

242102400114440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242102400114440 is an abundant number, since it is smaller than the sum of its proper divisors (312905932228240).

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

242102400114440 is a wasteful number, since it uses less digits than its factorization.

242102400114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114199245401 (or 114199245397 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 242102400114440 its reverse (44411004201242), we get a palindrome (286513404315682).

The spelling of 242102400114440 in words is "two hundred forty-two trillion, one hundred two billion, four hundred million, one hundred fourteen thousand, four hundred forty".