242401003400 has 96 divisors (see below), whose sum is σ = 569910993600. Its totient is φ = 95874451200.

The previous prime is 242401003387. The next prime is 242401003421. The reversal of 242401003400 is 4300104242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14226086 + ... + 14243114.

It is an arithmetic number, because the mean of its divisors is an integer number (5936572850).

Almost surely, 2^242401003400 is an apocalyptic number.

242401003400 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 242401003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284955496800).

242401003400 is an abundant number, since it is smaller than the sum of its proper divisors (327509990200).

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

242401003400 is a wasteful number, since it uses less digits than its factorization.

242401003400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17839 (or 17830 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 242401003400 its reverse (4300104242), we get a palindrome (246701107642).

The spelling of 242401003400 in words is "two hundred forty-two billion, four hundred one million, three thousand, four hundred".