242420003131400 has 48 divisors (see below), whose sum is σ = 596781007717140. Its totient is φ = 91264001177600.

The previous prime is 242420003131393. The next prime is 242420003131433. The reversal of 242420003131400 is 4131300024242.

It can be written as a sum of positive squares in 6 ways, for example, as 122719292359876 + 119700710771524 = 11077874^2 + 10940782^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 242420003131400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35649997061 + ... + 35650003860.

Almost surely, 2^{242420003131400} is an apocalyptic number.

242420003131400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242420003131400 is an abundant number, since it is smaller than the sum of its proper divisors (354361004585740).

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

242420003131400 is a wasteful number, since it uses less digits than its factorization.

242420003131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71300000954 (or 71300000945 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 242420003131400 its reverse (4131300024242), we get a palindrome (246551303155642).

The spelling of 242420003131400 in words is "two hundred forty-two trillion, four hundred twenty billion, three million, one hundred thirty-one thousand, four hundred".